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

The correct option is:

A. x²+4x

Step-by-step 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

a negative exponent is translated as follows:

so, we have