Functions f(x) and g(x) are given as follows: f(x) = /x g(x) = x - 2 What is the domain of the function given by (x)? All positive real numbers All positive real numbers except 2 All real numbers except 2 All nonnegative real numbers All nonnegative real numbers except 2

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Functions f(x) and g(x) are given as follows:
f(x) = /x
g(x) = x - 2
What is the domain of the function given by
All positive real numbers
All positive real numbers except 2
All real numbers except 2
All nonnegative real numbers
All nonnegative real numbers except 2
Transcribed Image Text:Functions f(x) and g(x) are given as follows: f(x) = /x g(x) = x - 2 What is the domain of the function given by All positive real numbers All positive real numbers except 2 All real numbers except 2 All nonnegative real numbers All nonnegative real numbers except 2
Expert Solution
Step 1

The second option is the correct choice.

Perform the division operation for functions f(x) and g(x).

fgx=fxgx=xx2So, (fg)(x)=xx2

 

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