Answer
The graph of the function $f(x)$ can be considered as the curve for cosine function and $f(x)= cos\frac{\pi x}{4}$ and the inverse of the function is $f^{-1}(x)= \frac{4}{\pi}cos^{-1}(y)$.
The graph of inverse of the function $f^{-1}(x)$ passing through the points ${(1,0),(0,2),(-1,4)}$ is depicted below:
Work Step by Step
Observe the graph ,we find that the function $f(x)$ passing through the below points.
$f(x)={(0,1),(2,0),(4,-1)}$
Thus, the inverse $f^{-1}(x)$ can be drawn as:
$f^{-1}(x) ={(1,0),(0,2),(-1,4)}$
The graph of the function $f(x)$ can be considered as the curve for cosine function and $f(x)= cos\frac{\pi x}{4}$ and the inverse of the function is $f^{-1}(x)= \frac{4}{\pi}cos^{-1}(y)$.
The graph of inverse of the function $f^{-1}(x)$ passing through the points ${(1,0),(0,2),(-1,4)}$ is depicted below:
