Show all the detail steps of your solution. 11. True or False Every relation is a function.12. True or False The domain of (f·g) (x) consists of thenumbers x that are in the domains of both f and g.13. True or False If no domain is specified for a function f, thenthe domain of f is taken to be the set of real numbers.

Answered: 11. True or False Every relation is a…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Related questions

Question

Show all the detail steps of your solution.

11. True or False Every relation is a function.
12. True or False The domain of (f·g) (x) consists of the
numbers x that are in the domains of both f and g.
13. True or False If no domain is specified for a function f, then
the domain of f is taken to be the set of real numbers.

Expert Solution

Step 1

11. Every relation can not be function because for relation there is only one image of input X but somewhere there is 2 image of input x will be exist.

So given statement is False.

12. If f(x) and g(x) have different domain than the domain of (f.g)(x) will contain all the x values which are contain by f(x) and g(x) in their domain.

So given statement is True.