Answer
See graph
Work Step by Step
We are given the function:
$f(x)=\cos x$
For the inverse to exist, we must restrict the domain of $f$ so that the function is one-to-one:
$D_f=[0,\pi]$
$R_f=[-1,1]$
The domain and range of the inverse $f^{-1}(x)=\cos^{-1}(x)$ are:
$D_{f^{-1}}=[-1,1]$
$R_{f^{-1}}=[0,\pi]$
The graph of $f^{-1}$ is symmetrical with the graph of $f$ over the line $y=x$.
Graph the functions:
