Graphs of Inverse Functions 2

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?

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Which of the following describe the coordinates of G?

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A
G=(f(a), a)
B
G=(a, f(a))
C
G=(g(a),a)
D
G=(a, g(a))

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Which of the following describe the coordinates of F?

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A
F=(a,f(a))
B
F=(f(a), a)
C
F=(a, g(a))
D
F=(g(a), a)

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What do you notice about the coordinates of these points?

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A
F and G have the same x-coordinates
B
F and G have the same y-coordinates
C
The x-coordinate of F is the y-coordinate of G and the y-coordinate of F is the x-coordinate of G
D
There is no connection between the coordinates of F and G

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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)?

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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).

Graphs of Inverse Functions 2

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