Finding Compositions of Functions InExercises 29–34, find (a) f ∘ g, (b) g ∘ f, and(c) g ∘ g.29. f(x) = x + 8, g(x) = x − 330. f(x) = −4x, g(x) = x + 731. f(x) = x2, g(x) = x − 132. f(x) = 3x, g(x) = x433. f(x) = √3 x − 1, g(x) = x3 + 134. f(x) = x3, g(x) = 1x

Finding Compositions of Functions InExercises 29–34, find (a) f ∘ g, (b) g ∘ f, and(c) g ∘ g.29. f(x) = x + 8, g(x) = x − 330. f(x) = −4x, g(x) = x + 731. f(x) = x2, g(x) = x − 132. f(x) = 3x, g(x) = x433. f(x) = √3 x − 1, g(x) = x3 + 134. f(x) = x3, g(x) = 1x

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.7: Combining Functions

Problem 29E: Evaluating composition of functions use f(x)=2x3 and g(x)=4x2 to evaluate the expression. (a)...

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Question

Finding Compositions of Functions In
Exercises 29–34, find (a) f ∘ g, (b) g ∘ f, and
(c) g ∘ g.
29. f(x) = x + 8, g(x) = x − 3
30. f(x) = −4x, g(x) = x + 7
31. f(x) = x2, g(x) = x − 1
32. f(x) = 3x, g(x) = x4
33. f(x) = √
3 x − 1, g(x) = x3 + 1
34. f(x) = x3, g(x) = 1
x

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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