Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other. x+2 f(x) = 2x - 5 and g(x) = - a. f(g(x)) = (Simplify your answer. Use integers or fractions for any numbers in the expression.) b. g(f(x)) = (Simplify your answer. Use integers or fractions for any numbers in the expression.) с. f and g are not inverses of each other. O fand g are inverses of each other.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.CR: Chapter Review
Problem 89E
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Chapter 2.7 Question 8

Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each
other.
x+2
f(x) = 2x - 5 and g(x) = -
a. f(g(x)) =
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
b. g(f(x)) =
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
с.
f and g are not inverses of each other.
O fand g are inverses of each other.
Transcribed Image Text:Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other. x+2 f(x) = 2x - 5 and g(x) = - a. f(g(x)) = (Simplify your answer. Use integers or fractions for any numbers in the expression.) b. g(f(x)) = (Simplify your answer. Use integers or fractions for any numbers in the expression.) с. f and g are not inverses of each other. O fand g are inverses of each other.
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