Answer
The following image shows the graph of $f(x)=-2x+3$ (red line) and its inverse, $f^{-1}(x)=\frac{x-3}{-2}$ (green line).
Work Step by Step
The function given:
$f(x)=-2x+3$
Replace $f(x)$ with $y$:
$y=-2x+3$
Make $x$ the subject:
$\frac{y-3}{-2}=x$
Interchange $x$ and $y$:
$\frac{x-3}{-2}=y$
Thus the inverse function is:
$f^{-1}(x)=\frac{x-3}{-2}$
To graph the original function and its inverse function, either technology can be used or the graph is manually plotted by making a table of ordered pairs and joining points together.
