Question

A cubic root function has a domain of x≥−5 and a range of y≥2.

what is the domain if its inverse ?

Answer 1

domain: x ≥ 2

Explanation:

Given a function with domain x ≥ -5 and range y ≥ 2, you want the domain of its inverse.

Domain

The domain of an inverse function is the same as the range of the function.

The domain is x ≥ 2.

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Additional comment

If a function tells you ...

y = f(x)

The inverse function is ...

x = f(y) ⇒ y = f⁻¹(x)

The domain and range of the inverse function are swapped from those of the original function.