Question

Let S(x) = (2x + 1)^3 and let g be the inverse function of f. Given that f(0) = 1, what is the value of gʻ(1) ?

Answer 1

`g(1) = 0`

Step-by-step explanation:

Given

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

`f(0) = 1`

Required

Find g(1)

If f(x) and g(x) are inverse functions, then:

`f(x) = y`

implies that:

`g(y) = x`

Using the analysis above:

`f(0) = 1` implies that:

`g(1) = 0`