What is the inverse of f if f(x) = ^3 square root of x - 4?

1 answer

To find the inverse of f, we need to solve for x in terms of f(x).

Let y = f(x) = ³√x - 4.

To solve for x, we first add 4 to both sides:

y + 4 = ³√x

Next, we cube both sides to eliminate the cube root:

(y + 4)³ = x

Therefore, the inverse of f is:

f⁻¹(x) = (x + 4)³