# Graphs of Inverse Functions 2

- Author:
- mathtasksproj

- Topic:
- Functions

Below are the graphs of and . Since and , we know that f and g are inverse functions. By adjusting the slider, you can change the value of a and move the points G and F.

At a=2, what are the coordinates of F and G, respectively?

Which of the following describe the coordinates of G?

Which of the following describe the coordinates of F?

What do you notice about the coordinates of these points?

Click on the hint below to find the graph of y=g(x). Using the graph below, describe the relationship between the graphs of y=f(x) and y=g(x)?

With your knowledge of inverse functions, can you find the inverse function of the function below? Input your function g(x) in the box and check if its reflection lands on f(x).