Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

consider the following functions. $f = {(-3, -3), (1, -2)}$ and $g = {(…

Question

consider the following functions.

$f = {(-3, -3), (1, -2)}$
and
$g = {(0, 2), (1, 5), (5, 2), (3, 2)}$

step 2 of 4: find $(f - g)(1)$.

2 points
$(f - g)(1) = $

Explanation:

Step1: Identify $f(1)$ from function $f$

From $f = \{(-3, -3), (1, -2)\}$, $f(1) = -2$

Step2: Identify $g(1)$ from function $g$

From $g = \{(0, 2), (1, 5), (5, 2), (3, 2)\}$, $g(1) = 5$

Step3: Calculate $(f-g)(1)$

Use formula $(f-g)(x)=f(x)-g(x)$

$$\begin{align} (f-g)(1) &= f(1) - g(1) \\ &= -2 - 5 \end{align}$$

Answer:

$-7$