Question

Which of the following is an equation for the inverse of the function f(x)=x+3/4? (please show work)

Answer 1

to get the inverse of any expression, we first do a quick switcharoo on the variables, then solve for "y", so let's do so,


`\bf y=x+\cfrac{3}{4}\qquad inverse\implies \boxed{x}=\boxed{y}+\cfrac{3}{4} \\\\\\ x-\cfrac{3}{4}=\stackrel{\stackrel{f^(-1)(x)}{g(x)}}{y}`