A student writes the following for the function f(x) = (x-2)/(x^2-8x+8): "The domain of f(x) is (-infinity,-4) U (-4,+infinity)" Is this correct? If not, what is the correct domain of f(x)?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter8: Roots And Radicals
Section8.7: Use Radicals In Functions
Problem 405E: Explain how to find the domain of a fourth root function.
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A student writes the following for the function f(x) = (x-2)/(x^2-8x+8): "The domain of f(x) is (-infinity,-4) U (-4,+infinity)" Is this correct? If not, what is the correct domain of f(x)?
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