Worked example
If f(x) = 2x + (3), what is f−1(11)?
Answer & why
Answer: 4
Solve 2x + (3) = 11. Subtract 3, then divide by 2: x = 4.
Grade 11 · Math
Evaluate an inverse linear function
Reverse a nonconstant linear rule to recover an input.
8 authored questions + worked example
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All questions
All 8 authored questions for this skill.
Question 1
If f(x) = 4x + (-3), what is f−1(-7)?
- -2
- 1
- -1
- 0
A hint
An inverse asks which input produced the stated output.
Answer & why
Answer: -1
Solve 4x + (-3) = -7. Subtract -3, then divide by 4: x = -1.
Question 2
If f(x) = 5x + (2), what is f−1(32)?
- 7
- 8
- 6
- 5
A hint
An inverse asks which input produced the stated output.
Answer & why
Answer: 6
Solve 5x + (2) = 32. Subtract 2, then divide by 5: x = 6.
Question 3
If f(x) = 2x + (3), what is f−1(11)?
- 4
- 5
- 3
- 6
A hint
An inverse asks which input produced the stated output.
Answer & why
Answer: 4
Solve 2x + (3) = 11. Subtract 3, then divide by 2: x = 4.
Question 4
If f(x) = 3x + (-2), what is f−1(13)?
- 5
- 7
- 4
- 6
A hint
An inverse asks which input produced the stated output.
Answer & why
Answer: 5
Solve 3x + (-2) = 13. Subtract -2, then divide by 3: x = 5.
Question 5
If f(x) = 4x + (1), what is f−1(13)?
- 2
- 5
- 3
- 4
A hint
An inverse asks which input produced the stated output.
Answer & why
Answer: 3
Solve 4x + (1) = 13. Subtract 1, then divide by 4: x = 3.
Question 6
If f(x) = 5x + (-4), what is f−1(6)?
- 3
- 4
- 2
- 1
A hint
An inverse asks which input produced the stated output.
Answer & why
Answer: 2
Solve 5x + (-4) = 6. Subtract -4, then divide by 5: x = 2.
Question 7
If f(x) = 2x + (-5), what is f−1(9)?
- 6
- 8
- 9
- 7
A hint
An inverse asks which input produced the stated output.
Answer & why
Answer: 7
Solve 2x + (-5) = 9. Subtract -5, then divide by 2: x = 7.
Question 8
If f(x) = 3x + (4), what is f−1(-2)?
- -2
- 0
- -1
- -3
A hint
An inverse asks which input produced the stated output.
Answer & why
Answer: -2
Solve 3x + (4) = -2. Subtract 4, then divide by 3: x = -2.