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What is the domain of the function f(x) = 1/(x - 2)?

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Question: What is the domain of the function f(x) = 1/(x - 2)?

Options:

  1. x ≠ 2
  2. x > 2
  3. x < 2
  4. All real numbers

Correct Answer: x ≠ 2

Solution: 

The function is undefined at x = 2, so the domain is all real numbers except 2.

What is the domain of the function f(x) = 1/(x - 2)?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the domain of the function f(x) = 1/(x - 2)?
Correct Answer: All real numbers except 2
  • Step 1: Identify the function given, which is f(x) = 1/(x - 2).
  • Step 2: Look for values of x that would make the function undefined. This happens when the denominator is zero.
  • Step 3: Set the denominator equal to zero: x - 2 = 0.
  • Step 4: Solve for x: x = 2.
  • Step 5: Since the function is undefined at x = 2, we cannot include this value in the domain.
  • Step 6: The domain of the function is all real numbers except for x = 2.
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