Question

If f(x) = 2x^2 and g(x)= x^2 + 2x, which expression represents f(g(x))?

Answer 1

see explanation

Explanation:

To find f(g(x)) substitute x = g(x) into f(x), that is

f(g(x))

= f(x² + 2x)

= 2(x² + 2x)² ← expand

= 2(
`x^(4)` + 4x³ + 4x²) ← distribute

= 2
`x^(4)` + 8x³ + 8x²