Question

Find the inverse of the radical function.

Enter the correct answer in the box.

Answer 1

The inverse of the given function is y = x³ + 2

Finding inverse of a radical function

Given the radical function below expressed as;

f(x) = ∛x-2

This can be written as;

y = ∛x-2

Replace y with x

x = ∛y-2

Take the cube of both sides

x³ =y - 2

y = x³ + 2

Hence the inverse of the given function is y = x³ + 2

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