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Algebra 2 · Chapter 6 · Lesson 6.8 · Printable PDF

Finding an Inverse from a Rule Worksheet with Answer Key

6 problems on finding an inverse from a rule: inverses of linear, cube root and other functions with domains, checking by composing both ways, values of an inverse without a formula, a student's inverse, a missing output, and a pendulum word problem. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Finding an inverse from a rule worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Find the inverse of each function and check one by composing both ways.
    f(x) = \dfrac{3}{4}x + 6g(x) = \sqrt[3]{x} + 4h(x) = 1 - 2x^3k(x) = \dfrac{1}{2x + 7}
  2. Find values of the inverse of a one-to-one function by trying small whole numbers.
  3. Check Layla's inverse by listing the stages of f and undoing them in order.
  4. Give the domain and range of f, find its inverse with domain, and check Ethan's work.
  5. Use only the inverse to find the number that is never an output of g, and more.
  6. Word problem: the length of a pendulum from its swing time.

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The free lesson teaches it with worked examples and practice problems.

Finding an inverse from a rule: the lesson ›

More Chapter 6 worksheets: Combined, composite and inverse functions