Question

If `f(x) = 4^(x+1)` , what is `f(2x+3)` in terms of `f(x)` ?

Answer 1

`16*[f(x)]^2`

Explanation:

`f(x) = 4^(x+1)`

`f(2x+3) = 4^((2x+3) +1)`

`f(2x+3) = 4^(x+1) * 4^(x+1) * 4^2`
`f(2x+3) = f(x) * f(x) * 4^2`
`f(2x+3) = 16*[f(x)]^2`