Step 1 :Step 1: Replace \( f(x) \) with \( y \), so the equation becomes \( y = 3x - 7 \).
Step 2 :Step 2: Swap \( x \) and \( y \) to get \( x = 3y - 7 \).
Step 3 :Step 3: Solve the equation for \( y \) to get \( y = \frac{x+7}{3} \).
Step 4 :Step 4: Replace \( y \) with \( f^{-1}(x) \) to get the inverse function: \( f^{-1}(x) = \frac{x+7}{3} \).