How can I specify the domain for problems like these?? f(x)=7x-2 f(x)=x2+1 f(x)=1/x-1

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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How can I specify the domain for problems like these??

  • f(x)=7x-2
  • f(x)=x2+1
  • f(x)=1/x-1
  • f(x)=-3/x+4
  • g(x)=3x/4x-3
Expert Solution
Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

a) f(x)=7x-2, this is an equation of a line or we can say it is a polynomial. Here is no restriction on x. This means all real numbers are possible for x. 

So the domain is all real numbers. 

Algebra homework question answer, step 1, image 1

 

 

Step 2

b) f(x)=x2+1 , this is an equation of parabola. Or we can say it is a polynomial. For polynomial, all real numbers are possible for x. So the domain is all real numbers. 

Algebra homework question answer, step 2, image 1

 

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