Answer
The graph of both functions together is:
Work Step by Step
$f(x)=-2x+3$
Substitute $f(x)$ by $y$:
$y=-2x+3$
Solve for $x$:
$y-3=-2x$
$-2x=y-3$
$x=\dfrac{3-y}{2}$
Interchange $x$ and $y$:
$y=\dfrac{3-x}{2}$
Substitute $y$ by $f^{-1}(x)$:
$f^{-1}(x)=\dfrac{3-x}{2}$