Search for: The domain of definition of function f(x)=log x2-5x-24 -x-2,is The domain of definition of function f(x)=log x2-5x-24 -x-2,is A(-∞,-3]B(-∞,-3]∪[8,∞)C-∞,-289DNone of these Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:Here,x2-5x-24>x+2 is equivalent to the collection of two system of inequations.Case I x2-5x-24≥0 and x+2<0 ⇒ (x-8)(x+3)≥0 and x<-2 ⇒ x≤-3 .....(i)Case IIx2-5x-24≥0,x+2≥0 and x2-5x-24>x+22 ⇒ x∈(-∞,-3]∪[8,∞),x∈[-2,∞) and x2-5x-24>x2+4x+4 ⇒ 9x<-28 ⇒ x<-289 ∴ No solution i.e., x∈ϕ ....(ii) From Eqs.(i) and (ii), we get x∈(-∞,-3] Also Check: Math formulas Related content Fl Words Homophones 9 Letter Words Tr Words: Check the List of Words Containing ‘Tr’ Dictation Words Biology Mind Map Physics Mind Map Prefix and Suffix with Examples Homonyms- Definition, Usage and Examples Worksheet Class 9 Maths for Number System