Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
583 views
in Sets, relations and functions by (53.1k points)

The domain of f (x) = log2(x + 3)/x2 + 3x + 2 is

(A)  R − {-1,-2}

(B)  (-2 + ∞)

(C)  R − {-1,-2,-3}

(D)  (-3,+ ∞}-(-1,-2)

1 Answer

+1 vote
by (53.3k points)
selected by
 
Best answer

Correct option   (D) (-3,+ ∞) −(-1,-2)

Explanation :

Here, x + 3 >0 and x2 + 3x + 2 ≠ 0.Therefore,

x> - 3 and (x + 1)(x + 2) ≠ 0.

That is, x ≠ -1, -2

Therefore,the domain is

(-3, ∞)-(-1,- 2) .

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...