Alerts Wishlist Cart

What is the domain of the function f(x) = 1/(x-3)?

Practice Questions

Q1
What is the domain of the function f(x) = 1/(x-3)?
  1. x ≠ 3
  2. x > 3
  3. x < 3
  4. All real numbers

Questions & Step-by-Step Solutions

What is the domain of the function f(x) = 1/(x-3)?
Correct Answer: x ≠ 3
  • Step 1: Identify the function given, which is f(x) = 1/(x-3).
  • Step 2: Understand that the function is a fraction, and a fraction is undefined when the denominator is zero.
  • Step 3: Find the denominator of the function, which is (x - 3).
  • Step 4: Set the denominator equal to zero to find where the function is undefined: x - 3 = 0.
  • Step 5: Solve for x: x = 3.
  • Step 6: Conclude that the function is undefined at x = 3.
  • Step 7: State the domain of the function, which includes all real numbers except x = 3. This can be written as x ≠ 3.
No concepts available.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely