SOLUTION: If g(x)=-x^2 determine the coordinates of the point of intersection of g(x) and its inverse algebraically

Algebra ->  Functions -> SOLUTION: If g(x)=-x^2 determine the coordinates of the point of intersection of g(x) and its inverse algebraically      Log On


   



Question 1020977: If g(x)=-x^2 determine the coordinates of the point of intersection of g(x) and its inverse algebraically
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The function g%28x%29+=+-x%5E2 is not a one-to-one function, hence it's inverse will not exist. To make it have an inverse function we should place a restriction on its domain in such a way that the function will be one-to-one there. A common restriction is x%3E=0 or x%3C=0 for the function given.