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For each pair of functions ƒ and g below, find f(g(x)) and g (f(x)). Then, determine whether and g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) (a) f(x) = x - 6 1 (b) f(x) = ± 2x ' x = 0 g(x) = x + 6 f(g(x)) =] g(f(x)) =]] f and g are inverses of each other fand g are not inverses of each other g(x) = == f(g(x)) = g(f(x)) = 1 2x , x = 0 f and g are inverses of each other ƒ and g are not inverses of each other X 00

For each pair of functions ƒ and g below, find f(g(x)) and g (f(x)). Then, determine whether and g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) (a) f(x) = x - 6 1 (b) f(x) = ± 2x ' x = 0 g(x) = x + 6 f(g(x)) =] g(f(x)) =]] f and g are inverses of each other fand g are not inverses of each other g(x) = == f(g(x)) = g(f(x)) = 1 2x , x = 0 f and g are inverses of each other ƒ and g are not inverses of each other X 00

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 22CR
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For each pair of functions ƒ and g below, find f(g(x)) and g (f(x)). Then, determine whether and g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) (a) f(x) = x - 6 1 (b) f(x) = ± 2x ' x = 0 g(x) = x + 6 f(g(x)) =] g(f(x)) =]] f and g are inverses of each other fand g are not inverses of each other g(x) = == f(g(x)) = g(f(x)) = 1 2x , x = 0 f and g are inverses of each other ƒ and g are not inverses of each other X 00
Transcribed Image Text:For each pair of functions ƒ and g below, find f(g(x)) and g (f(x)). Then, determine whether and g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) (a) f(x) = x - 6 1 (b) f(x) = ± 2x ' x = 0 g(x) = x + 6 f(g(x)) =] g(f(x)) =]] f and g are inverses of each other fand g are not inverses of each other g(x) = == f(g(x)) = g(f(x)) = 1 2x , x = 0 f and g are inverses of each other ƒ and g are not inverses of each other X 00
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