Answer:
a. -16
Step-by-step 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 [tex]g(x) = -x ^ 2[/tex]
So:
[tex]g(g(x)) = -(-x^2)^2[/tex]
[tex]g(g(x)) = -(x^4)[/tex]
Now we do x = 2.
So:
[tex]g(g(2)) = -(2^4)\\\\g(g(2)) = -16[/tex]
The answer is Option a.
Answer:
Option a. -16
Step-by-step 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 = [tex]-x^{4}[/tex]
Now we will put the value x = 2 in the function.
(gog)(2) = -[tex]2^{4}[/tex] = -16
Option a. is the right option.
