How can you tell if two functions are inverses of each other? Be sure to discuss how to graphically and algebraically.

Question

Tamara

Mathematics

14 July, 22:13

How can you tell if two functions are inverses of each other? Be sure to discuss how to graphically and algebraically.

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Answers (1)

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Roberto Garrison · Answer 1

See below.

Step-by-step explanation:

Graphically: the graphs of a function and its inverse are symmetric with respect to the line y = x.

Algebraically: If functions f (x) and g (x) are inverses of each other, then the composition of f and g must equal x, and the composition of g and f must also equal x.