Question

If f(x)=4x2 and g(x)=5x, what is g(f(2x))?

Answer 1

80x^2

Explanation:

5x(4•2(2x))

5x(16x)

80x^2

Answer 2

`g(f(2x)) =80 x^2`

Explanation:

If
`f(x)=4x^2`, and
`g(x)=5x`, then in order to find the composition
`g(f(2x))` we need to start by finding what
`f(2x)` is:

`f(2x)=4(2x)^2=4*4x^2=16x^2`

`g(f(2x)) = g(16x^2)= 5*(16x^2)=80 x^2`