Question

Let f(x) = 5x + 4 and g(x) = x2 - 4. Find the following.
(gof)(-2)

Answer 1

Answer:

(g ￮ f)(-2) = 32

Step-by-step explanation:

Given

$f(x)=5x+4$

$g\left(x\right)=x^2-4$

We have to evaluate (g ￮ f)(-2), so first we will evaluate f(-2) then use this value to evaluate g(x).

Finding f(-2)

$f(x)=5x+4$

$f(-2) = 5(-2)+4$

          $= -10 + 4$

          $= -6$

Then

$g\left(-6\right)=\left(-6\right)^2-4$

          $=36-4$

          $= 32$

Therefore,

(g ￮ f)(-2) = 32