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To find the inverse of a function switch x and y and then solve for y

 

Example:  \(y=3x+2\)

 

Switch x and y

 

\(x=3y+2\)

 

subtract 2 from both sides

 

\(x-2=3y\)

 

divide 3 from both sides

 

\((x-2)/3=y\)

 

rewrie with y on the left

 

\(y=(x-2)/3\)

 

The inverse of \(y=3x+2\) is \(y=(x-2)/3\)