Question

Find the domain of function f and its inverse function f^(-1)? f(x)=5cotx-4

Answer 1

Inverse function of `f(x)=5cotx-4` is `f(x)=cot^(-1)((x+4)/5)`

Explanation:

We have `y=f(x)=5cotx-4`

then `cotx=(y+4)/5`

and `x=cot^(-1)((y+4)/5)`

Hence inverse function of `f(x)=5cotx-4` is

`f(x)=cot^(-1)((x+4)/5)`