Question

HELP PLEASE

let f(x)=3x-4 and g(x)= -x^2
evaluate the composite function: (gog)(2)

a. -16
b. 16
c. 20
d. -18

Answer 1

Option a. -16

Explanation:

In this question the given functions are f(x) = 3x -4 and g(x) = - x² and we have to find the value of (gog)(2).

For which we will rewrite the function g(x) in the form of (gog)(x).

(gog)(x) = -{(-x²)}² = -(x²)² =
`-x^(4)`

Now we will put the value x = 2 in the function.

(gog)(2) = -
`2^(4)` = -16

Option a. is the right option.

Answer 2

a. -16

Explanation:

To answer this question we must find (gog) Then we must introduce the function g(x) within the function g(x).

In other words we must do g(g(x))

If
`g(x) = -x ^ 2`

So:

`g(g(x)) = -(-x^2)^2`

`g(g(x)) = -(x^4)`

Now we do x = 2.

So:

`g(g(2)) = -(2^4)\\\\g(g(2)) = -16`

The answer is Option a.