If the point (5,-7) is on the graph of the one to one function f, what point is on graph of f^-1?

Question

If the point (5,-7) is on the graph of the one to one function f, what point is on graph of f^-1?

Answer 1

Being one-to-one means that every x has one y and every y has only one x.

 

The inverse uses the output (y-value) as an input (x-value) and spits it out to get the original x-value inputted into f.

 

Using your point, f(5) = -7. Since our function is one to one, f^-1(-7) = 5, so a point should be (-7,5).