The inverse of the given function is y = (x-1) / 3.We should find the inverse of the following function:[tex]\sf f(x)=3x+1[/tex]To determine the inverse of a function, follow these 3 steps:Replace f(x) with y.Swap the x's and y's.Solve for y.Step 1:[tex]\sf y=3x+1[/tex]Step 2:[tex]\sf x=3y+1[/tex]Step 3:[tex]\sf x-1=3y[/tex][tex]\sf \cfrac{x-1}{3}=y[/tex][tex]\sf y=\cfrac{x-1}{3}[/tex]