Algebra 2 · Chapter 6 · Lesson 6.2 · Printable PDF

Dividing Functions and the Domain of a Combination Worksheet with Answer Key

7 problems on dividing functions and the domain of a combination: values of f over g, outputs that cause no value, simplifying a quotient, domains in interval notation, a student's missed exclusions, holes depending on k, and a bike-share ride model. 3 pages, with a worked answer key.

7 problems3 pagesanswer key
Printable Dividing functions and the domain of a combination worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Find each value of f over g, or write no value and say which output causes it.
    \left(\dfrac{f}{g}\right)(0)\left(\dfrac{f}{g}\right)(2)\left(\dfrac{f}{g}\right)(-2)\left(\dfrac{g}{f}\right)(3)\left(\dfrac{f}{g}\right)(3)
  2. Word problem: Andre's delivery van, miles driven and fuel used by hours.
  3. Find the domain of f over g, and the quotient in simplest form.
  4. Solve g equal to 0 and find the domain of f over g, explaining which answer matters.
  5. Check Mia's quotient of two rational functions and its domain.
  6. Find the values of k for which the quotient has a hole, and write the quotient for each.
  7. Word problem: a town's bike-share bikes and rides per bike over time.

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