Question

Given f^{-1} (x)=2x^3+3. Write an equation that represents f(x).

I just need some help. I can't figure out this problem since I'm watching a toddler while doing this.

Answer 1

f(x) = [(x - 3)/2]^⅓

Explanation:

f(x) is the inverse of f^-1

y = 2x³ + 3

x³ = (y - 3)/2

x = cuberoot [(y - 3)/2]

Interswitch variables

f(x) = [(x - 3)/2]^⅓