50. Which of the following statements describe a function and its inverse? Select all that apply. If the point (x, y) is on the graph of f(x), the point (y, æ) is on the graph of g(x) if the two functions are inverses. If the inverse of the equation f(x) is found, the inverse is g(x) if f(g(x))= g(f(x)). The compositions f(g(x)) and g(f(x)) will simplify to x if the functions are inverses. A function and its inverse are reflections across the x-axis.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
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50. Which of the following statements describe a function and its inverse? Select all that apply.
If the point (x, y) is on the graph of f(x), the point (y, x) is on the graph of g(x) if the two functions are inverses.
If the inverse of the equation f(x) is found, the inverse is g(x) if f(g(x))= g(f(x)).
The compositions f(g(x)) and g(f(x)) will simplify to a if the functions are inverses.
A function and its inverse are reflections across the x-axis.
Transcribed Image Text:50. Which of the following statements describe a function and its inverse? Select all that apply. If the point (x, y) is on the graph of f(x), the point (y, x) is on the graph of g(x) if the two functions are inverses. If the inverse of the equation f(x) is found, the inverse is g(x) if f(g(x))= g(f(x)). The compositions f(g(x)) and g(f(x)) will simplify to a if the functions are inverses. A function and its inverse are reflections across the x-axis.
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