Question

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

Answer 1

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}