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2) if g(x) = 2x² - x, find g(-2) 4) find f(9) y = f(x)

Question

  1. if g(x) = 2x² - x, find g(-2)
  2. find f(9) y = f(x)

Explanation:

Step1: Substitute x = - 2 into g(x)

$g(-2)=2\times(-2)^{2}-(-2)$

Step2: Calculate the exponent

$(-2)^{2}=4$, so $g(-2)=2\times4 + 2$

Step3: Multiply and add

$2\times4=8$, then $8 + 2=10$

for finding f(9):

Step1: Locate x = 9 on the x - axis

Find the value of x = 9 on the horizontal axis of the graph of y = f(x).

Step2: Determine the corresponding y - value

From the graph, when x = 9, the y - value (i.e., f(9)) is 9.

Answer:

10