A function m is a [Select]The [Select]of functions f and g if m(x) = f[g(x)].of m is the set of all numbers such that x is in thedomain of g, and g(x) is in the domain of f.

AnswerExplanation:A function m is a composition of functions f and g if m(x) = f[g(x)].The domain of…

Answered: A function m is a [Select] The [Select]…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.1: Functions

Problem 2E: For a function f , the set of all possible inputs is called the ________ of f , and the set of all...

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Similar questions

For a function f , the set of all possible inputs is called the ________ of f , and the set of all possible outputs is called the _________of f .
Let f(x),g(x),h(x)F[x] where f(x) and g(x) are relatively prime. If h(x)f(x), prove that h(x) and g(x) are relatively prime.
Let a and b be constant integers with a0, and let the mapping f:ZZ be defined by f(x)=ax+b. Prove that f is one-to-one. Prove that f is onto if and only if a=1 or a=1.
Prove that if f is a permutation on A, then (f1)1=f.
A relation R on a nonempty set A is called asymmetric if, for x and y in A, xRy implies yRx. Which of the relations in Exercise 2 areasymmetric? In each of the following parts, a relation R is defined on the set of all integers. Determine in each case whether or not R is reflexive, symmetric, or transitive. Justify your answers. a. xRy if and only if x=2y. b. xRy if and only if x=y. c. xRy if and only if y=xk for some k in . d. xRy if and only if xy. e. xRy if and only if xy. f. xRy if and only if x=|y|. g. xRy if and only if |x||y+1|. h. xRy if and only if xy i. xRy if and only if xy j. xRy if and only if |xy|=1. k. xRy if and only if |xy|1.
A Function f is a rule that assigns to each element x in a set A exactly ________ element(s) called f(x) in a set B. Which of the following tables defines y as a function of x ?

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A function m is a [Select] The [Select] of functions f and g if m(x) = f[g(x)]. of m is the set of all numbers such that x is in the domain of g, and g(x) is in the domain of f.