Question

Let f(x) = 2x2 and g(x) = x2 - 1. Then g(f(1)) =

Answer 1

= 4x + 9

Explanation:

Given f(x) = 2x + 3 and g(x) = –x2 + 5, find ( f o f )(x).

( f o f )(x) = f ( f (x))

= f (2x + 3)

= 2( ) + 3 ... setting up to insert the input

= 2(2x + 3) + 3

= 4x + 6 + 3

= 4x + 9