微积分
极限、导数、最优化与函数性质。
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question 28 not yet answered marked out of 1.00 p flag question the pri…
Question 28: b. protect individual freedoms and rights Question 29: d. Social Security Administration Question 30: b. Gilded Age, World War I, Great Depression, Cold War
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question 22 not yet answered marked out of 1.00 p flag question how did…
Question 22: d. It confirmed the commitment of the United States to aid nations resisting communism. Question 23: a. Presidential veto power Question 24: a. It gave citizens a voi…
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5) $-5x + 5y = -5$ $10x - 4y = -14$
The solution to the system of equations is \(x=-3\) and \(y = - 4\)
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find the zero.\ $f(x) = 27x^3 - 27x^2 + 9x - 1$
$x=\frac{1}{3}$ (a repeated zero with multiplicity 3)
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33. for what value of the constant ( c ) is the function ( f ) continuo…
\( \frac{2}{3} \)
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the value of one share of stock, in dollars, t hours after 12 p.m. is m…
\( f'(t)=(-0.1 + 1.6t)\cdot1235e^{0.04t}+(14 - 0.1t + 0.8t^{2})\cdot49.4e^{0.04t} \) ### Part B
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find f(x) for the function f(x) = \\frac{x + 9}{x^2 - 7x + 2}. f(x) =
\( \frac{-x^2 - 18x + 65}{(x^2 - 7x + 2)^2} \)
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the term coined by mark twain to describe the period of rapid economic …
1. Gilded Age 2. laissez-faire 3. Standard Oil 4. steel 5. horizontal integration 6. Sherman Antitrust Act 7. Captains of Industry 8. power 9. Gospel of Wealth 10. monopoly 11. ri…
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what was the purpose of the sherman antitrust act? a. to encourage hori…
1. b. To limit monopolies 2. d. By using horizontal integration 3. c. Robber barons and captains of industry
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enter the correct answer. find the product. $2\\frac{1}{2} \\times \\fr…
1
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differentiate ( y = ln(10 - x - 5x^2) ).( y = )
\( y'=\frac{-1 - 10x}{10 - x - 5x^{2}} \) (or \( \frac{10x + 1}{5x^{2}+x - 10} \))
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compute the derivative of the function ( y = sqrt{x^7 - 40x} ) using th…
\(\frac{7x^{6}-40}{2\sqrt{x^{7}-40x}}\)
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evaluate \\( \\frac{d}{dt} e^{-4t^2 + 3t + 7} = \\)
\( (-8t + 3)e^{-4t^2 + 3t + 7} \) (or \( e^{-4t^2 + 3t + 7}(-8t + 3) \))
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4. a) given the graph of f(x), graph the inverse relation. explain your…
s: a) To graph the inverse relation, reflect each point \((x,y)\) on \(f(x)\) over \(y = x\) (swap \(x\) and \(y\) to get \((y,x)\)) and plot these points. For example, if \((x_1,…
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express the function \\(\\frac{1}{x - 1}\\) in the form \\(f \\circ g\\…
\( f(x)=\frac{1}{x} \)
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complete the table for the function $y = 7^x$. | $x$ | $y$ | | --- | --…
### Completed Table: | $x$ | $y$ | |-----|-----| | -1 | $\frac{1}{7}$ | | 0 | 1 | | 1 | 7 | | 2 | 49 | ### Key Plotting Points: Two suitable points to graph the function are $(0, …
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answer the following true or false: let $f(x) = x^2 - 7x + 3$. the slop…
True
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question 7 estimate the instantaneous rate of change of $g(t) = \\frac{…
\( -1.000 \)
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7. below are the graphs of the functions f and g. the graph of y = f(x)…
$\lim_{x\to1^-} \frac{-4x^2 -5x +2}{f(x)} = +\infty$ $\lim_{x\to1^+} \frac{-4x^2 -5x +2}{f(x)} = -\infty$ $\lim_{x\to1} \frac{-4x^2 -5x +2}{f(x)}$ does not exist
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complete the table for the function $y = 3^x$. now, graph the function.…
Completed table: | x | y | |----|------| | -1 | $\frac{1}{3}$ | | 0 | 1 | | 1 | 3 | | 2 | 9 | For the graph: Plot the points $(0,1)$ and $(1,3)$ on the coordinate grid, then draw …
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question 8 estimate the instantaneous rate of change at ( x = 3 ) your …
\( 8 \) (or a value close to 8, depending on more precise graph reading, but 8 is a good estimate here)
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(int_{0}^{8} \frac{dx}{sqrt{1 + x}})
\( 4 \)
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complete each equation. 8 × 20 = ?
160
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use the area model to find $8 \\times 26$. step 1: use place value to b…
First, correct the breakdown: $26 = 20 + 6$ The final product is $208$
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use the area model to find $8 \\times 26$. step 1: use place value to b…
For the blanks: $20$ and $6$ Final product: $208$
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fill out the table for the following linear equation: $y = 2x - 2$ grap…
The filled table (with example x - values 0, 1, 2) is as above, and the graph is drawn using the plotted points.
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determine whether the following sentence is true or false. $f \\circ g$…
A. False
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homework 1: 1.1-1.4 review score: 15/17 answered: 12/13 question 13 use…
114 square units
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homework 1: 1.1-1.4 review score: 10/17 answered: 7/13 question 8 using…
$x^3$
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homework 1: 1.1-1.4 review score: 9/17 answered: 6/13 question 7 if \\(…
140
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(int_{0}^{8} \frac{dx}{sqrt{1 + x}})
\( 4 \)
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homework 1: 1.1-1.4 review score: 8/17 answered: 5/13 question 6 if \\(…
$4.5$
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homework 1: 1.1-1.4 review score: 7/17 answered: 4/13 question 5 given …
$-\frac{38}{11}$
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write the standard form of the equation of the parabola that has the in…
\(y = -\frac{1}{4}(x - 6)^2 + 3\) (or \(y=-\frac{1}{4}x^{2}+3x - 6\)) ### Problem 2 (Vertex: (-6, -2); point: (-7, 0))
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homework 1: 1.1-1.4 review score: 5/17 answered: 2/13 question 3 evalua…
4
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homework 1: 1.1-1.4 review score: 4/17 answered: 1/13 question 2 evalua…
4
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use a graphing utility to graph the quadratic function. $f(x) = 2x^2 - …
- vertex: \( (6, 0) \) - axis of symmetry: \( x = 6 \) - x-intercept: \( (6, 0) \) - standard form: \( f(x) = 2(x - 6)^2 \)
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use a graphing utility to graph the quadratic function. $f(x) = x^2 + 1…
vertex: \((-5, -13)\) axis of symmetry: \(x = -5\) x - intercept (smaller x - value): \((-5 - \sqrt{13}, 0)\) x - intercept (larger x - value): \((-5 + \sqrt{13}, 0)\) standard fo…
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which equation is represented by the graph below?answer\\(\\boldsymbol{…
$y = 3^{-x} - 4$
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which equation is represented by the graph below? answer \\( y = 3^{x -…
$\boldsymbol{y = 3^x + 2}$ (Option B)
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3. identify the vertical and horizontal asymptotes of $f(x) = \\frac{5x…
B. $x = 0, x = -2, x = 2, y = 0$
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which equation is represented by the graph below? answer \\( y = 2^{-x …
B. $y = -2^{-x} - 2$
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a line has a slope of -1 and passes through the point (-12, 11). write …
$y=-x - 1$
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a line has a slope of 0 and passes through the point (7, 19). write its…
$y=19$
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graph below? answer \\( y = 2^{-x - 2} \\) \\( y = -2^{-x} - 2 \\) \\( …
# Explanation: ## Step1: Test x=0 on each option For $y=2^{-x}-2$: $y=2^{0}-2=1-2=-2$ For $y=2^{-x-2}$: $y=2^{-0-2}=2^{-2}=\frac{1}{4}$ For $y=-2^{-x}-2$: $y=-2^{0}-2=-1-2=-3$ For…
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a line has a slope of 6 and passes through the point (-2, -16). write i…
$y = 6x-4$
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2. consider $f(x) = \\frac{1}{x^2 - 2}$. evaluate $\\lim\\limits_{x\\to…
D. $-\infty$
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compute.\ $-4.53 + \\left(-5.34\ ight) = \\square$\ $-6.8 + 19.5 = \\sq…
$-4.53 + (-5.34) = -9.87$ $-6.8 + 19.5 = 12.7$
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compute. -4.368 - 3.86 = 16.37 + (-29.786) =
$-4.368 - 3.86 = -8.228$ $16.37 + (-29.786) = -13.416$
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fill in the blank the system of linear equations is shown below: $3x + …
$(6, 5)$
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compute. 39.4 + (-7.2) = 3.9 - 36.24 =
$39.4 + (-7.2) = 32.2$ $3.9 - 36.24 = -32.34$
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multiple-choice problems 1. evaluate \\(\\lim\\limits_{x\\to -\\infty} …
1. B. 2 2. C. $\infty$
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find the absolute value. |3.4| |3.4| = \\square (type an integer or a d…
\( 3.4 \)
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which outcome best explains how justinian’s codification affected the e…
It ensured more consistent application of laws
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12. v(x) = 2(x² - 5)
\( v(x)=2x^{2}-10 \)
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expand the expression and simplify. \\(\\ln(5e^2)\\). do not give a dec…
$2$ + $\ln(\boldsymbol{5})$
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compare the graph to its parent function ( f(x) = x^2 ). 2. ( f(x) = -4…
\( -4 \)
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5. $y = 2(2^x - 1)$
The graph is an exponential curve passing through $(0,0)$, $(1,2)$, $(-1,-1)$, approaching the horizontal asymptote $y=-2$ as $x \to -\infty$, increasing for all real $x$.
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part - a (multiple choice - non calculator) 1. what is the slope of the…
A. 2 ### Question 2
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homework 16: section 3.4 score: 77.5/160 answered: 8/16 question 8 give…
(a) \(\boldsymbol{24}\) (b) \(\boldsymbol{0}\)
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graph the function. identify a and compare 1. $f(x) = 5x^2$ $a = $ ____…
5
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use the quadratic function ( f(x)=\frac{1}{2}x^2 + 6x + 6 ) to answer t…
\((-6, -12)\)
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question a new car is purchased for 23700 dollars. the value of the car…
$\$5048.10$
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homework 16: section 3.4 score: 67.5/160 answered: 7/16 question 7 give…
\(x^2 + 15x + 54\) ### Part (b)
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17. find the equation of a line parallel to y = 3x - 4 that passes thro…
$y=3x-25$
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moreover, our gracious will and pleasure is... that if any person or pe…
B. The slave trade will not be allowed in the new colony.
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homework 16: section 3.4 score: 57.5/160 answered: 6/16 question 6 give…
\( 49 \) ### Part (b)
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9. when does an individual begin to feel esteem and gain self - respect…
An individual begins to feel esteem and gain self - respect when their lower - level needs (physiological, safety) are met, they achieve personal goals, receive positive recogniti…
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use the quadratic function $f(x)=\frac{1}{3}x^2 + 6x + 4$ to answer the…
\((-9, - 23)\) ### Part b)
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use the graphs to evaluate the expressions below. $f(g(5)) = square$ $g…
\( 5 \) ### For \( g(f(1)) \):
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for the function ( f ) whose graph is given, state the following. (a) (…
To solve the problem, we analyze the graph of the function \( f(x) \) for the given limits and asymptotes. ### Part (a): \( \lim_{x \to \infty} f(x) \) As \( x \) approaches \( \i…
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let $g(x)=\\begin{cases}-6x^2 + x & \\text{if } x < 3 \\\\ a & \\text{i…
B. There is no value of \( a \) for which \( g \) is continuous at \( 3 \) because \( \lim_{x ightarrow3^{-}}g(x)=\boldsymbol{-51} \) and \( \lim_{x ightarrow3^{+}}g(x)=\boldsymbo…
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let $g(x)=\\begin{cases}-6x^2 + x & \\text{if } x < 3 \\\\ a & \\text{i…
13 ### Part c
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let $g(x)=\\begin{cases}-6x^2 + x & \\text{if } x < 3 \\\\ a & \\text{i…
\(-51\)
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evaluate the following limit. \\lim_{x\\to 0} \\frac{\\cos x - 1}{\\sin…
\( -\frac{1}{2} \)
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at what points is the function $y = \\frac{\\sin x}{5x - 5}$ continuous…
\((-\infty, 1)\cup(1, \infty)\)
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consider continuous functions f and g. then complete the statement. fun…
greater than
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determine the intervals on which the following function is continuous. …
\((-\infty, \infty)\)
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consider continuous functions f, g, h, and k. then complete the stateme…
The function that has the least minimum value is function $k$. The function that has the greatest minimum value is function $h$.
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use the graph to answer the questions about existence, limits, and cont…
No (the option is "No")
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the graph of the function ( h ) is shown below, along with its asymptot…
\(\lim_{x ightarrow1^{-}}h(x)=-\infty\) \(\lim_{x ightarrow1^{+}}h(x)=\infty\) \(\lim_{x ightarrow1}h(x)=\text{Does not exist}\)
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the graph of the function g is shown below, along with its asymptote. f…
\(\lim_{x ightarrow1^{-}}g(x)=\boldsymbol{-\infty}\), \(\lim_{x ightarrow1^{+}}g(x)=\boldsymbol{\infty}\), \(\lim_{x ightarrow1}g(x)\) \(\boldsymbol{\text{Does Not Exist}}\)
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find the following limit. write your answer as an exact value (not a de…
\( \dfrac{\sqrt{5}}{8} \)
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question 6 what were the progressive reformers working towards in the e…
D. Involving government in regulating social, economic, and political problems
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which of the following is the graph of this square root function? f(x) …
The first graph (the one on the left) is the graph of the function \( f(x)=\sqrt{x + 1}+5 \).
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source 8.3 rights and national independence simón bolívar | the jamaica…
14. All those born in the Americas who possessed European ancestry 15. Climatic and geographic differences between regions
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11. find the inverse of $y = \\log_{2} x$. $y = \\square$
$y = 2^x$
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source 8.3 rights and national independence simon bolivar | the jamaica…
## Question 13: - Efforts to chart the rights of all full participants in society - The creation of new laws or the direct appeal to government authorities to secure inalienable r…
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type the correct answer in each box. functions h and k are inverse func…
\((h \circ k)(3) = 3\) \((k \circ h)(-4b) = -4b\)
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dividing multi-digit decimals find each quotient. 1 ( 28.8 div 1.2 ) 2 …
1. $24$ 2. $2.4$ 3. $0.24$ 4. $32.4$ 5. $32.4$ 6. $3.24$ 7. $0.735$ 8. $73.5$ 9. $7350$
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you are a newly hired loan officer at a large bank, and your job is to …
1. I will deny the loan application. 2. - Bank's profit: Important to avoid default-related losses. - Customer's financial stability: Critical to prevent their financial harm. - P…
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the function $y = f(x)$ is graphed below. what is the average rate of c…
The average rate of change is \( 4 \).
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type the correct answer in the box. use numerals instead of words. if n…
$\frac{3}{4}$
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select the correct answer. consider functions h and k table with x valu…
C. 28
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select the correct answer. consider functions f and g. f(x) = 2x + 9 gr…
D. 5
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select the correct answer. consider function f. $f(x) = 2x^2$ what is t…
B. $8x^4$
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the function $y = f(x)$ is graphed below. what is the average rate of c…
\(\frac{3}{5}\) (or 0.6)
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6. use technology to evaluate the logarithm. round your answer to three…
-1.099
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select the correct answer. consider functions f and g. what is the valu…
$\boldsymbol{-1}$ (assuming $f(-3)=-1$ due to possible graph misinterpretation, as the strict calculation gives 0 which is not an option) Wait, no, that's not right. Wait, maybe t…
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consider functions f and g. what is the value of x when (f ∘ g)(x) = 3?…
-1