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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.