Question

If g(x) is the inverse of f(x), what is the value of f(g(2))the function f(x) is given below f(x)= {(3,-5), (5,-7),(6,-9),(10,-12),(12,-16)}

Answer 1

The correct answer is f(g(2) = 2.

This is because of the rule regarding the identity of inverse functions. No matter what an inverse function is, when you make a composite function with an original and it's inverse, then end result is always that y = x. Therefore, no matter what we put in for x (in this case 2), we get out for y.