Answer:Step-by-step explanation:To begin, we will replace f(x) with y, since they mean the same thing, except y does not represent function notation. We will put it back when we're done.[tex]y=\frac{1}{3}x+2[/tex]The rules for finding an inverse function algebraically is to switch the x and the y, then solve for the new y. Our function then becomes, with the variables switched:[tex]x=\frac{1}{3}y+2[/tex]Begin to isolate the new y by subtracting 2 from both sides:[tex]x-2=\frac{1}{3}y[/tex]Now multiply both sides by 3:3(x - 2) = y and3x - 6 = yThat's the inverse, so now we will put it back into function notation:[tex]f^{-1}(x)=3x-6[/tex]