To find the inverse we write the function as:
[tex]y=3x+1[/tex]
Now we interchange the name of the variable, that is:
[tex]x=3y+1[/tex]
Now we solve the equation for y:
[tex]\begin{gathered} x=3y+1 \\ 3y=x-1 \\ y=\frac{x-1}{3} \end{gathered}[/tex]
Therefore the inverse functioni is:
[tex]f^{-1}(x)=\frac{x-1}{3}[/tex]
