Finding Domains of Functions and CompositeFunctions In Exercises 113 and 114, find (a) f ∘ g and(b) g ∘ f. Find the domain of each function and of eachcomposite function.113. f(x) = 13x − 3, g(x) = 3x + 1114. f(x) = √x + 1, g(x) = x2

Finding Domains of Functions and CompositeFunctions In Exercises 113 and 114, find (a) f ∘ g and(b) g ∘ f. Find the domain of each function and of eachcomposite function.113. f(x) = 13x − 3, g(x) = 3x + 1114. f(x) = √x + 1, g(x) = x2

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter8: Introduction To Functions

Section8.8: Linear And Quadratic Functions

Problem 38WE

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The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.

Question

Finding Domains of Functions and Composite
Functions In Exercises 113 and 114, find (a) f ∘ g and
(b) g ∘ f. Find the domain of each function and of each
composite function.
113. f(x) = 1
3x − 3, g(x) = 3x + 1
114. f(x) = √x + 1, g(x) = x2

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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