Inverse functions (non-linear)
12th grade (Year 13 in England) · 16 questions · Common Core: HSF.BF.B.4.A, HSF.BF.B.5
Name
Date
Score/ 16
Question 1
f(x) = 6/(x − 4). Find f⁻¹(x).
Answer
Question 2
What is the inverse of f(x) = 2ˣ?
- A. 2⁻ˣ
- B. log_2(x)
- C. 1/2ˣ
- D. x²
Question 3
f(x) = 4/(x − 3). Find f⁻¹(x).
Answer
Question 4
What is the inverse of f(x) = 2ˣ?
- A. x/2
- B. log_2(x)
- C. 1/2ˣ
- D. 2⁻ˣ
Question 5
f(x) = (x − 4)/2. Find f⁻¹(x).
Answer
Question 6
What is the inverse of f(x) = 2ˣ?
- A. 1/2ˣ
- B. 2⁻ˣ
- C. log_2(x)
- D. x²
Question 7
f(x) = √(x − 7), x ≥ 7. Find f⁻¹(x).
Answer
Question 8
What is the inverse of f(x) = 5ˣ?
- A. 1/5ˣ
- B. log_5(x)
- C. x/5
- D. x⁵
Question 9
f(x) = (x − 6)/3. Find f⁻¹(x).
Answer
Question 10
What is the inverse of f(x) = 5ˣ?
- A. x/5
- B. 1/5ˣ
- C. 5⁻ˣ
- D. log_5(x)
Question 11
f(x) = (x − 4)/5. Find f⁻¹(x).
Answer
Question 12
What is the inverse of f(x) = 4ˣ?
- A. 1/4ˣ
- B. 4⁻ˣ
- C. log_4(x)
- D. x⁴
Question 13
f(x) = √(x − 9), x ≥ 9. Find f⁻¹(x).
Answer
Question 14
What is the inverse of f(x) = 10ˣ?
- A. 10⁻ˣ
- B. x/10
- C. x¹⁰
- D. log(x)
Question 15
f(x) = 5/(x − 3). Find f⁻¹(x).
Answer
Question 16
What is the inverse of f(x) = 3ˣ?
- A. log_3(x)
- B. x/3
- C. 3⁻ˣ
- D. 1/3ˣ
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