Back to 3.4 Composition of Functions

3.4 Exercise 114

Avg difficulty 2.5

The function A(d) A \left(d\right) gives the pain level on a scale of 0 to 10 experienced by a patient with d d milligrams of a pain-reducing drug in her system. The milligrams of the drug in the patient’s system after t t minutes is modeled by m(t). m \left(t\right) . Which of the following would you do in order to determine when the patient will be at a pain level of 4?

  1. ⓐEvaluate A( m(4) ). A \left(m \left(4\right)\right) .
  2. ⓑEvaluate m( A(4) ). m \left(A \left(4\right)\right) .
  3. ⓒSolve A( m(t) )=4. A \left(m \left(t\right)\right) = 4.
  4. ⓓSolve m( A(d) )=4. m \left(A \left(d\right)\right) = 4.

OpenStax Algebra and Trigonometry 2e, 3.4 Composition of Functions, exercise 114

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.