Question

For the function f, of, x, equals, left parenthesis, x, minus, 4, right parenthesis, cubedf(x)=(x−4)
3
, find f, to the power minus 1 , left parenthesis, x, right parenthesisf
−1
(x).

Answer 1

Let y = (x − 4)^3.
Take cube roots: x − 4 = ∛y, so x = 4 + ∛y.
Swap x and y to get the inverse: f⁻¹(x) = 4 + ∛x.

Domain and range: both are all real numbers.