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Accuplacer Inverse Functions — practice questions

Explore 2 free Inverse Functions questions in Accuplacer Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Inverse Functions questions and exercises with answers

Showing questions 1–2 of 2.

What does an inverse function do to the inputs and outputs of the original?Read the answer and worked solution →For a one-to-one function f, f(3) = 11. What does the inverse function give for an input of 11?Read the answer and worked solution →

Worked practice questions

What does an inverse function do to the inputs and outputs of the original?

  1. It doubles them both
  2. It squares them both
  3. It leaves them alone
  4. It swaps them over
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Correct answer: D. It swaps them over

1. An inverse function runs the original machine backwards. 2. The input of the original function becomes the output of the inverse. 3. The output of the original function becomes the input of the inverse, so the two swap over. _Source: OpenStax College Algebra (CC BY 4.0), section 3.7 Inverse Functions_

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For a one-to-one function f, f(3) = 11. What does the inverse function give for an input of 11?

  1. It gives back 11
  2. It gives back 14
  3. It gives back 3
  4. It gives a reciprocal
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Correct answer: C. It gives back 3

1. An inverse function reverses the roles of input and output. 2. The original pairing sends the input 3 to the output 11. 3. So the inverse must send the input 11 back to the output 3. 4. Writing that in notation, f inverse of 11 equals 3. 5. Giving back 11 repeats the input rather than reversing the pairing. 6. Giving back 14 adds the two numbers, which no inverse rule does. 7. Giving a reciprocal treats the raised negative 1 as a power, but it is notation rather than an exponent. _Source: OpenStax College Algebra (CC BY 4.0), section 3.7 Inverse Functions_

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More Mathematics topics

Linear Equations in One VariableCoordinate Plane and GraphsLinear and Absolute Value InequalitiesRadical and Absolute Value EquationsComposition of FunctionsDomain and RangeFunctions and Function NotationModels and Applications