SOLUTION: If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))? How do I know what the graph of f(g(x)) would look like?

Algebra ->  Inverses -> SOLUTION: If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))? How do I know what the graph of f(g(x)) would look like?      Log On


   

Question 1039161: If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?
How do I know what the graph of f(g(x)) would look like?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The two separate functions are given as inverses.
y=g%28f%28x%29%29=f%28g%28x%29%29=x, BECAUSE f AND g ARE INVERSES.