In Exercises 41 and 42, (a) write formulas for ƒ ∘ g and g ∘ ƒ and find the (b) domain and (c) range of each. 41. ƒ(x) = 2 - x2, g(x) = sqrt(x + 2) 42. ƒ(x) = sqrt(x), g(x) = sqrt(1 - x)
In Exercises 41 and 42, (a) write formulas for ƒ ∘ g and g ∘ ƒ and find the (b) domain and (c) range of each. 41. ƒ(x) = 2 - x2, g(x) = sqrt(x + 2) 42. ƒ(x) = sqrt(x), g(x) = sqrt(1 - x)
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
Section10.1: Graphing Square Root Functions
Problem 18E
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In Exercises 41 and 42, (a) write formulas for ƒ ∘ g and g ∘ ƒ and find the (b) domain and (c) range of each.
41. ƒ(x) = 2 - x2, g(x) = sqrt(x + 2)
42. ƒ(x) = sqrt(x), g(x) = sqrt(1 - x)
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