Question 760954
{{{f(x)=3x-1/4}}}

Let us substitute {{{y}}} for {{{f(x)}}}: {{{y=3x-1/4}}}

To find the inverse of a function, we switch {{{x}}} and {{{y}}} and then solve for the new {{{y}}}. Let us then switch the variables: {{{x=3y-1/4}}}

Now solve for {{{y}}}. Add {{{1/4}}} to both sides: {{{x+1/4=3y}}}

Divide both sides by 3: {{{x/3+1/12=y}}}

Therefore, the inverse function is {{{y=x/3+1/12}}}, or {{{f^-1(x)=x/3+1/12}}} ({{{f^-1(x)}}} means the inverse function).