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