Answer
See graph
Work Step by Step
The given function $f$ passes the Horizontal Test; therefore it has an inverse.
Using the graph, determine the values of $f$ for each of the values of $x\in\{1,3,4,6\}$:
$f(1)=1$
$f(3)=2$
$f(4)=6$
$f(6)=7$
So we have the points:
$(1,1),(3,2),(4,6),(6,7)$
If $(a,b)$ belongs to the graph of $f$, $(b,a)$ belongs to the graph of $f^{-1}$. In order to determine the inverse $f^{-1}(x)$, we consider the ordered pairs:
$(1,1),(2,3),(6,4),(7,6)$
Plot the points and join them.
