Question

If F(x) = x+ 6 and G(x) = x^4, what is G(F(x))?
O
A. A +x+6
B. (X+6)^4
C.x^4+6
D.x^4(x+6)

Answer 1

ANSWER

B.$(x + 6)^{4}$

EXPLANATION

The given functions are:

f(x)=x+6

and

$g(x)= {x}^{4}$

We want to find

$g(f(x)) = g(x + 6)$

This is the composition of functions, where one function becomes the input of the second function.

We plug in x+6 into the expression for g(x) to obtain,

$g(f(x)) = (x + 6)^{4}$

The correct answer is B.