Question

Find the inverse of f(x)=−32x+72.

Answer 1

Answer: $f^{-1}(x)=-\frac{x-72}{32}$

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]

$y=-\frac{x-72}{32}$

Now, we have found the inverse function.