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 Register to Get Free Mock Test and Study Material +91 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] Post navigationPrevious: The sum to infinity of the series 1+23+632+10333+1434+…..isNext: The sixth term of an AP is 2, and its common difference is greater than one. The value of the common difference of the progression so that the product of the first, fourth and fifth terms is greatest isRelated content NEET Rank Assurance Program | NEET Crash Course 2023 JEE Main 2023 Question Papers with Solutions JEE Main 2024 Syllabus Best Books for JEE Main 2024 JEE Advanced 2024: Exam date, Syllabus, Eligibility Criteria JEE Main 2024: Exam dates, Syllabus, Eligibility Criteria JEE 2024: Exam Date, Syllabus, Eligibility Criteria NCERT Solutions For Class 6 Maths Data Handling Exercise 9.3 JEE Crash Course – JEE Crash Course 2023 NEET Crash Course – NEET Crash Course 2023