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Find domains of functions with roots and fractions

10th grade (Year 11 in England) · 16 questions · Common Core: HSF.IF.B.5, HSF.IF.A.1 · England: A-level Pure Mathematics

Name

Date

Score/ 16

1
Question 1
What is the domain of f(x) = √(x − 6) (real numbers only)?
- A. x ≤ 6
- B. x > 6
- C. x ≠ 6
- D. x ≥ 6
Question 2
What is the smallest x in the domain of f(x) = √(2x − 12)?
Answer
3
Question 3
What is the domain of f(x) = 1/(x + 8) (real numbers only)?
- A. x ≤ −8
- B. x ≠ −8
- C. x ≥ −8
- D. x > −8
Question 4
What is the smallest x in the domain of f(x) = √(3x)?
Answer
5
Question 5
What is the domain of f(x) = √(7 − x) (real numbers only)?
- A. x ≥ 7
- B. x > 7
- C. x ≤ 7
- D. x ≠ 7
Question 6
What is the smallest x in the domain of f(x) = √(4x)?
Answer
7
Question 7
What is the domain of f(x) = 1/√(x − 1) (real numbers only)?
- A. x ≠ 1
- B. x ≥ 1
- C. x > 1
- D. x ≤ 1
Question 8
What is the smallest x in the domain of f(x) = √(3x − 9)?
Answer
9
Question 9
What is the domain of f(x) = √(x − 5) (real numbers only)?
- A. x > 5
- B. x ≠ 5
- C. x ≤ 5
- D. x ≥ 5
Question 10
What is the smallest x in the domain of f(x) = √(5x)?
Answer
11
Question 11
What is the domain of f(x) = √(x + 8) (real numbers only)?
- A. x > −8
- B. x ≤ −8
- C. x ≠ −8
- D. x ≥ −8
Question 12
What is the smallest x in the domain of f(x) = √(4x)?
Answer
13
Question 13
What is the domain of f(x) = √(x + 6) (real numbers only)?
- A. x ≥ −6
- B. x ≤ −6
- C. x ≠ −6
- D. x > −6
Question 14
What is the smallest x in the domain of f(x) = √(4x + 8)?
Answer
15
Question 15
What is the domain of f(x) = √(−3 − x) (real numbers only)?
- A. x ≥ −3
- B. x > −3
- C. x ≠ −3
- D. x ≤ −3
Question 16
What is the smallest x in the domain of f(x) = √(3x − 12)?
Answer

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