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Let's go through one more example.

Find the inverse of y = 3x - 4, then click the Answer button below to check your work.

First, interchange the x and y variables:

x = 3y - 4.

Next, solve for y:

x + 4 = 3y
\(\small\mathsf{ \frac{(x+4)}{3} }\) = y.

The inverse of y = 3x - 4 is f\(\small\mathsf{ ^{-1} }\)(x) = \(\small\mathsf{ \frac{(x+4)}{3} }\) .