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

Answer:

$g(1) = 0$

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:

$g(1) = 0$