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Misc 3 - Find domain of f(x) = x2 + 2x + 1 / x2 - 8x + 12

Misc 3 - Chapter 2 Class 11 Relations and Functions - Part 2

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Misc 3 Find the domain of the function "f" (x) = (" " π‘₯2 + 2π‘₯ + 1)/(π‘₯2 βˆ’ 8π‘₯ + 12) "f" (x) = (" " x2 + 2x +1)/(x2 βˆ’ 8x + 12) = (" " (x +1)2)/(x2 βˆ’2x βˆ’6π‘₯ +12) = ((x + 1)2)/(π‘₯(x βˆ’2) βˆ’ 6(π‘₯ βˆ’2)) = (" " (x + 1)2)/((π‘₯ βˆ’ 6)(x βˆ’2) ) In real numbers , the denominator cannot be zero Hence (x – 6) (x – 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 – {2, 6}

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.