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Math Questions 16.6 - Inverse Functions
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| Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions |
|---|---|---|---|---|---|
| 16.6 | Inverse Functions |
Inverse Functions Revision Questions
1. . What is the inverse of the function f(x) = 1 - 5x?
- f-1(x) = 5x - 1
- f-1(x) = x - 5
- f-1(x) = x - 1/5
- f-1(x) = x/5 - 1/5
Correct Answer: D
2. . Which of the following functions has an inverse in the whole set of real numbers?
- f(x) = 1/x
- f(x) = 2x2
- f(x) = √x
- f(x) = 4x
Correct Answer: D
3. . What are the values of m and n so that the function f-1(x) = mx + n is the inverse of f(x) = 2x + 7?
- m = 2 and n = 7
- m = 7 and n = 2
- m = 1/2 and n = -7/2
- m = 1/2 and n = 7/2
Correct Answer: C
4. . What is the inverse of the function f(x) = log3 x?
- f-1(x) = logx 3
- f-1(x) = 3x
- f-1(x) = e3x
- f-1(x) = 103x
Correct Answer: B
5. . The inverse of a function is f-1(x) = 23x. What is the original function f(x)?
- f(x) = log8 x
- f(x) = 3 log 2
- f(x) = log2 (3x)
- f(x) = 2 log (3x)
Correct Answer: A
6. . Which of the following functions shown in the figure is the inverse of the function f(x)?
- g(x)
- h(x)
- i(x)
- k(x)
Correct Answer: C
7. . The figure below shows the function f(x). What is the inverse function f-1(x)?
- f-1(x) = 5 - 2x
- f-1(x) = 2 - 5x
- f-1(x) = x/2 - 5/2
- f-1(x) = 2x - 5/2
Correct Answer: C
8. . In which part of the X-axis the function f(x) = x2 - 4x + 4 has an inverse?
- For x > 0
- For x ≥ 2
- For x ≥ -2
- For x ≤ 2
Correct Answer: B
9. . What is the domain of the inverse function of f(x) = x2 - 6x + 9 in the parts where an inverse function is present?
- x > 0
- x ≥ 0
- x > 3
- x ≥ 3
Correct Answer: B
10. . What is the inverse function of f(x) = |3 - 4x|?
- f-1(x) = -x/4 + 3/4
- f-1(x) = x/4 - ¾
- f-1(x) = 4x - 3
- f(x) has no inverse
Correct Answer: D
11. . The function f(x) = (1 - 3x)/2 is given. What is f-1(3)?
- 7/3
- 4/3
- 1/3
- 4
Correct Answer: A
12. . The functions f(x) = 3x and g(x) = 2x + 1 are given. What is f-1(
13. . - g-1(5)?
- 2/3
- 2
- 8/3
- -4/3
Correct Answer: D
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- Functions Math tutorial: Inverse Functions. Read the Inverse Functions math tutorial and build your math knowledge of Functions
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- Check your calculations for Functions questions with our excellent Functions calculators which contain full equations and calculations clearly displayed line by line. See the Functions Calculators by iCalculator™ below.
- Continuing learning functions - read our next math tutorial: Even and Odd Functions
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