Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other. X+3 7 f(x)=3x-7 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.) C. f and g are not inverses of each other. f and g are inverses of each other. THE

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.7: Inverse Functions
Problem 45SE: To convert from x degrees Celsius toy degrees Fahrenheit, we use the formula f(x)=95x+32 . Find the...
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Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other.
X+3
7
f(x)=3x-7 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.)
C.
f and g are not inverses of each other.
f and g are inverses of each other.
THE
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+3 7 f(x)=3x-7 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.) C. f and g are not inverses of each other. f and g are inverses of each other. THE
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