Find the domain of the function f(x) = (x2 + 3x + 5)/(x2 - 5x + 4) – InterviewSolution

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1.

Find the domain of the function f(x) = (x2 + 3x + 5)/(x2 - 5x + 4)

Answer»

Given f(x) = (x² + 3x + 5)/(x² - 5x + 4)

f(x) is defined for all real numbers except x² – 5x + 4 = 0

But x² -5x + 4 = (x - 4) (x - 1)

Domain of f= R-{1,4}

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