Answer: [tex]f^{-1}(x)=-\frac{x-72}{32}[/tex]
Step-by-step explanation:
To find the inverse function, you want to switch x with y and y with x, then solve for y.
y=-32x+72 [switch x with y and y with x]
x=-32y+72 [subtract both sides by 72]
x-72=-32y [divide both sides by -32]
[tex]y=-\frac{x-72}{32}[/tex]
Now, we have found the inverse function.