Question

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

Answer 1

80x²

Explanation:

f(x) = 4x², g(x) = 5x

f(2x) = 4(2x)² = 16x²

g(f(2x)) = 5(16x²) = 80x²

Answer 2

Answer: 40x

First, let's find f(2x)

`f(2x)=4(2x)=8x`

Using this, let's find g(f(2x)):

`g(f(2x))=g(8x)=5(8x)=40x`

That's the answer. Let me know if you need any clarifications, thanks!