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Proving Two Functions are Inverses - Problem 3

Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

By definition, wo functions are inverses if and only if f(f-1(x)) = f-1(f(x)) = x . Hence, we use composition to prove that two functions are inverses. We must address domain restrictions, as well for radical functions- whatever is under the square root must always be greater than or equal to one. Lastly, the domain of a function is the range of its inverse, and vice-versa.

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