Problem

For the function $f(x)=4 x+2$, find $f^{-1}(x)$.

Answer

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Answer

\(\boxed{f^{-1}(x) = \frac{x - 2}{4}}\)

Steps

Step 1 ：Switch the roles of x and y: \(x = 4y + 2\)

Step 2 ：Solve for y: \(y = \frac{x - 2}{4}\)

Step 3 ：\(\boxed{f^{-1}(x) = \frac{x - 2}{4}}\)

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