Question

Given the FUNCTIONS, f(x) = x 2 - 4 and g(x) = x + 2, perform the indicated operation. When applicable, state the domain restriction.

f(g(x))

A. x2 + 4x
B. x2 - 2
C. x2 + 4x - 4
D. x2 - 4x - 4

Answer 1

I hope this helps you

Answer 2

The correct option is:

A. x²+4x

Explanation:

We are given that:

f(x)=x²-4 and g(x)=x+2

We have to find f(g(x))

f(g(x))=f(x+2)

= (x+2)²-4

= x²+4+4x-4

= x²+4x

Hence, the correct option is:

A. x²+4x