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UPCAT Mathematics practice question 41: What is the domain of f(x) = 1 / (x − 3)?

Correct answer

D. All real numbers except 3

The denominator vanishes when x = 3, so that value must be excluded. Every other real number is permitted.

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

  1. All real numbers
  2. All real numbers except 0
  3. All real numbers greater than 3
  4. All real numbers except 3Correct

Why D is correct

The denominator vanishes when x = 3, so that value must be excluded. Every other real number is permitted.

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