The equation f^-1(x) = \fracx2 represents the inverse function of f(x) . Inverse functions essentially reverse the effect of the original function. For this specific function, if you input a value x , the output is half of that value. To find the original function f(x) , you can rearrange the equation. If f^-1(x) = \fracx2 , then f(x) = 2x . This means that if you take a number, double it, and then apply the inverse function, you will return to the original number.