Write an equation for the inverse given the function below W

Write an equation for the inverse, given the function below.

Write an equation for the inverse, given the function below. f(x) = (x + 1)^3

Solution

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

let f(x) = y

y = (x+1)^3

switch x and y

x = (y+1)^3

solve for y

cube root (x) = y + 1

y = cube root (x) - 1

therefore, equation of inverse is

f^-1(x) = cube root (x) - 1