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Algebra Series Domain Root

Domain of Radical Functions Video 2

Author: John Fisk

This video explains how to find the domain of functions with roots. The restrictions on the domain depend on whether the root is even or odd. The video demonstrates the principles by finding the domains of the following functions. You can try to find the domain before watching the video and click "Reveal Answer" to see if you are correct.

Problem: Find the domain of the functions:

  1. \(f(x)=\sqrt[5]{7-x}\)
  2. \(f(x)=\sqrt[4]{7-x}\)

  1. Domain: \((-\infty,\infty)\)
  2. Domain: \((-\infty,7]\)

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