Question

Given the functions, f(x) = x2 + 2 and g(x) = 4x - 1, perform the indicated operation. When applicable, state the domain restriction.

g(f(x))

4 x2 + 1
16 x2 + 3
4 x2 + 7
16 x2 - 8 x + 3

Answer 1

3rd option

Explanation:

substitute x = f(x) into g(x)

g(f(x))

= g(x² + 2)

= 4(x² + 2) - 1

= 4x² + 8 - 1

= 4x² + 7