For each pair of functions ƒ and g below, find f(g(x)) and g (f(x)). Then, determine whether ƒ 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) = -3x 8(x) = = = f(g(x)) = 3 g(f(x)) = Of and g are inverses of each other Of and g are not inverses of each other (b) f(x)=2x+3 8(x) = x -3 f(g(x)) = g(f(x)) = 2 fand g are inverses of each other f and g are not inverses of each other
For each pair of functions ƒ and g below, find f(g(x)) and g (f(x)). Then, determine whether ƒ 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) = -3x 8(x) = = = f(g(x)) = 3 g(f(x)) = Of and g are inverses of each other Of and g are not inverses of each other (b) f(x)=2x+3 8(x) = x -3 f(g(x)) = g(f(x)) = 2 fand g are inverses of each other f and g are not inverses of each other
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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