Problem

Find the inverse of the function \( f(x) = 3x + 7 \)

Answer

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Answer

Finally, divide both sides by 3 to isolate \(y\), resulting in \(y = \frac{x - 7}{3}\)

Steps

Step 1 ：The first step is to replace \(f(x)\) with \(y\), so we get \(y = 3x + 7\)

Step 2 ：The second step is to swap \(x\) and \(y\), giving us \(x = 3y + 7\)

Step 3 ：The third step is to solve for \(y\). First, subtract 7 from both sides, which gives \(x - 7 = 3y\)

Step 4 ：Finally, divide both sides by 3 to isolate \(y\), resulting in \(y = \frac{x - 7}{3}\)

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