Lesson Worksheet: Inverse of Linear Functions Mathematics

In this worksheet, we will practice finding the inverse of a linear function using inverse operations.

Q1:

What is the inverse of the function 𝑦=7𝑥5?

  • A7𝑦=5𝑥
  • B𝑦=𝑥57
  • C𝑦=7𝑥5
  • D𝑦=7𝑥+5
  • E𝑦=𝑥+57

Q2:

Is the inverse of a linear function linear?

  • ANo
  • BYes

Q3:

What is the inverse of the function 𝑦=2+17𝑥?

  • A2𝑥+14
  • B217𝑥
  • C17𝑥+14
  • D7𝑥+14
  • E7𝑥+14

Q4:

True or False: 𝑓(𝑥)=1𝑓(𝑥).

  • AFalse
  • BTrue

Q5:

What is the inverse of the function 𝑦=2𝑥3?

  • A𝑦=3𝑥2
  • B𝑦=2𝑥3
  • C𝑦=6𝑥
  • D𝑦=23𝑥
  • E𝑦=32𝑥

Q6:

What is the inverse function of the linear function 𝑦=2𝑥13?

  • A𝑦=3𝑥12
  • B𝑦=23𝑥+1
  • C𝑦=3𝑥+12
  • D𝑦=2𝑥13
  • E𝑦=23𝑥1

Q7:

True or False: The function 𝑦=𝑥+53 is the inverse function of 𝑦=3𝑥5.

  • ATrue
  • BFalse

Q8:

Find the inverse of the linear function 𝑦=4𝑥+7.

  • A𝑦=𝑥74
  • B𝑦=4𝑥7
  • C𝑦=4𝑥7
  • D𝑦=𝑥+74
  • E𝑦=4𝑥7

Q9:

What is the inverse of the function 𝑦=9𝑥213?

  • A𝑦=2𝑥27+29
  • B𝑦=2𝑥9227
  • C𝑦=92𝑥+13
  • D𝑦=2𝑥9+227
  • E𝑦=9𝑥2+13

Q10:

Which of the following is the inverse of the linear function 𝑦=2(3𝑥1)?

  • A𝑦=𝑥26
  • B𝑦=6𝑥2
  • C𝑦=𝑥+26
  • D𝑦=6𝑥+2
  • E𝑦=26𝑥

This lesson includes 63 additional question variations for subscribers.

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