Consider the function f(x)=tanx with a domain of 0<x<π2, where x is in radians.

Question

What is the range of f−1(x)?
- 0<x<∞
- −∞<x<∞
- 0<f−1(x)<∞
- −∞<f−1(x)<∞
- 0<x<π2
- 0<f−1(x)<π2

Answer 1

the range of f^-1(x) is the domain of f(x)

I assume you mean π/2

consider the graph of tan^-1x