The Domain Of The Function Where [.] Denotes The Greatest Integer Function) Is :

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Question

The domain of the function

where [.] denotes the greatest integer function) is :

Solution

Correct option is

(–6, –5)

Here, loglog1/3   is defined when :

(ii) 

or                                     

or                          (                                           

From (1) and (2), we get

                           

From (3) and (4) domain of 

 

SIMILAR QUESTIONS

Q1

 

Q2

The sum of the maximum and minimum values of function

               

Q3

The complete set of values of ‘a’ for which the function

                 

Q4

The domain of the function

               

Q5

The domain of 

Q6

The domain of 

Q7

The domain of the function

Q8

 Domain of the function:

Q9

If the function (x) = [3.5 + b sin x] (where [.] denotes the greatest integer function) is an even function then complete set of values of ‘b’ is :

Q10

Range of the function