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$2.00 A. Explain how to determine whether a gi

  • From Mathematics: Algebra
  • Closed, but you can still post tutorials
  • Due on May. 26, 2012
  • Asked on May 22, 2012 at 6:57:44PM
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Juliette17
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Q:
A. Explain how to determine whether a given function possesses an inverse function by doing the following: 1. Discuss how to find the inverse of a function. 2. Find the inverse of f(x) = 2x. 3. State the domain and range of f(x) = 2x and its inverse. 4. Graph f(x) = 2x and its inverse on the same set of axes. 5. Explain the relationship between the domain and range of f(x) and the domain and range of f’ –1(x). 6. Explain why some functions do not possess an inverse. B. Explain the role of the inverse function in mathematics by doing the following: 1. Explain why f(f–1(x)) is x. 2. Explain why f–1(f(x)) is x. 3. Explain the graphical relationship between a function and its inverse.