Question

If f(x) =Cosx Then what is finverse(x)?

Answer 1

See the explanation please.

Explanation:

`f(x)=cos(x)=>` domain`(-oo, oo)`, range`[-1, 1]`

`y=cos(x)`

`x=cos(y)`

`y=+-cos^(-1)(x)`

`f^(-1)(x)=-cos^(-1)(x)=>` domain[-1, 1], range`[-pi, 0]`

`f^(-1)(x)=cos^(-1)(x)=>` domain[-1, 1], range`[0, pi]`