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

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

  1. Chapter 2 Class 11 Relations and Functions (Term 1)
  2. Serial order wise

Transcript

Misc 3 Find the domain of the function "f" (x) = (" " ๐‘ฅ2 + 2๐‘ฅ + 1)/(๐‘ฅ2 โˆ’ 8๐‘ฅ + 12) "f" (x) = (" " x2 + 2x +1)/(x2 โˆ’ 8x + 12) = (" " (x +1)2)/(x2 โˆ’2x โˆ’6๐‘ฅ +12) = ((x + 1)2)/(๐‘ฅ(x โˆ’2) โˆ’ 6(๐‘ฅ โˆ’2)) = (" " (x + 1)2)/((๐‘ฅ โˆ’ 6)(x โˆ’2) ) In real numbers , the denominator cannot be zero Hence (x โ€“ 6) (x โ€“ 2) โ‰  0 โ‡’ x โ‰  6 and x โ‰  2 Hence the domain of function will be all real numbers except 2 & 6 Hence, the Domain = R โ€“ {2, 6}

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.