Problem

Find the inverse of the function f(x)=3x−7.

Answer

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Answer

Step 4: Replace y with f−1(x) to get the inverse function: f−1(x)=x+73.

Steps

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=x+73.

Step 4 ：Step 4: Replace y with f−1(x) to get the inverse function: f−1(x)=x+73.

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