Chapter 2 Class 11 Relations and Functions (Term 1)

Serial order wise

Last updated at Sept. 3, 2021 by Teachoo

Misc 3 Find the domain of the function "f" (x) = (" " π₯2 + 2π₯ + 1)/(π₯2 β 8π₯ + 12) "f" (x) = (" " x2 + 2x +1)/(x2 β 8x + 12) = (" " (x +1)2)/(x2 β2x β6π₯ +12) = ((x + 1)2)/(π₯(x β2) β 6(π₯ β2)) = (" " (x + 1)2)/((π₯ β 6)(x β2) ) In real numbers , the denominator cannot be zero Hence (x β 6) (x β 2) β 0 β x β 6 and x β 2 Hence the domain of function will be all real numbers except 2 & 6 Hence, the Domain = R β {2, 6}