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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) = 4/(x − 8). Find f⁻¹(x).
Answer
2
Question 2
What is the inverse of f(x) = 3ˣ?
- A. x/3
- B. log_3(x)
- C. 3⁻ˣ
- D. 1/3ˣ
Question 3
f(x) = √(x − 2), x ≥ 2. Find f⁻¹(x).
Answer
4
Question 4
What is the inverse of f(x) = 10ˣ?
- A. x/10
- B. 10⁻ˣ
- C. x¹⁰
- D. log(x)
Question 5
f(x) = √(x − 4), x ≥ 4. Find f⁻¹(x).
Answer
6
Question 6
What is the inverse of f(x) = 4ˣ?
- A. x⁴
- B. 4⁻ˣ
- C. 1/4ˣ
- D. log_4(x)
Question 7
f(x) = 3/(x − 5). Find f⁻¹(x).
Answer
8
Question 8
What is the inverse of f(x) = 10ˣ?
- A. log(x)
- B. 10⁻ˣ
- C. x/10
- D. 1/10ˣ
Question 9
f(x) = (x − 6)/5. Find f⁻¹(x).
Answer
10
Question 10
What is the inverse of f(x) = 2ˣ?
- A. 1/2ˣ
- B. log_2(x)
- C. x/2
- D. x²
Question 11
f(x) = √(x − 2), x ≥ 2. Find f⁻¹(x).
Answer
12
Question 12
What is the inverse of f(x) = 3ˣ?
- A. 3⁻ˣ
- B. x³
- C. 1/3ˣ
- D. log_3(x)
Question 13
f(x) = √(x − 2), x ≥ 2. Find f⁻¹(x).
Answer
14
Question 14
What is the inverse of f(x) = 4ˣ?
- A. log_4(x)
- B. 4⁻ˣ
- C. x⁴
- D. x/4
Question 15
f(x) = 6/(x − 3). Find f⁻¹(x).
Answer
16
Question 16
What is the inverse of f(x) = 3ˣ?
- A. x³
- B. 3⁻ˣ
- C. log_3(x)
- D. 1/3ˣ

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Answer key: Inverse functions (non-linear)

1. 4/x+8
2. B. log_3(x)
3. x^2+2
4. D. log(x)
5. x^2+4
6. D. log_4(x)
7. 3/x+5
8. A. log(x)
9. 5x+6
10. B. log_2(x)
11. x^2+2
12. D. log_3(x)
13. x^2+2
14. A. log_4(x)
15. 6/x+3
16. C. log_3(x)