If f(x) is a one-to-one function and S(8)=-2 then which of the following points must lic on the graph of its inverse, i. e. y= f'(x)?

Recall that a function has exactly one output for each input. Therefore, to define an inverse function, we need to map each input to exactly one output. For example, let’s try to find the inverse function for f(x)=x^2. Solving the equation y=x^2 for x, we arrive at the equation x= \pm \sq-rt{y}. This equation does not describe x as a function of y because there are two solutions to this equation for every y>0. The problem with trying to find an inverse function for f(x)=x^2 is that two inputs are sent to the same output for each output y>0. The function f(x)=x^3+4 discussed earlier did not have this problem. For that function, each input was sent to a different output. A function that sends each input to a different output is called a one-to-one function