Question

Consider the function f(x)=−x2+6 on the domain [0,∞).

Use the range of f(x) to determine the domain of f−1(x).

What is the domain of f−1(x)?

Answers:
−∞<x≤6

−∞<f−1(x)≤6

6<x<∞

−6<f−1(x)<6

−6<x<6

6<f−1(x)<∞

Answer 1

the domain of f^{^-1}(x) is the range of f(x)
So, just find the range.