Question

Find the inverse of the function h(x) = cube root of x - 3

Answer 1

To find the inverse of a function, we will first replace h(x) with y in the original function:

y = cube root of x - 3

Next, we will interchange the x and y variables:

x = cube root of y - 3

Now, solve for y:

x + 3 = cube root of y

Cube both sides to eliminate the cube root:

(x + 3)^3 = y

Therefore, the inverse function of h(x) is:

h^(-1)(x) = (x + 3)^3