For each of the pairs of functions f and g, determine whether (f o g ) is well defined, that is the range of g is a subset of the domain of f. Write (f o g) (x) explicitly if it is well defined. Also determine if (g o f ) is well defined, write (g o f)(x) explicitly if it is well defined. f: N --> N is defined by f(n) = 2 - (n)1/2. g: Z --> Z is defined by g(x) = x+7.

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
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For each of the pairs of functions f and g, determine whether (f o g ) is well defined, that is the range of g is a subset of the domain of f. Write (f o g) (x) explicitly if it is well defined. Also determine if (g o f ) is well defined, write (g o f)(x) explicitly if it is well defined. 

 

f: N --> N is defined by f(n) = 2 - (n)1/2.

g: Z --> Z is defined by g(x) = x+7.

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