Home
Class 12
MATHS
Domain off(x)=log(x^2+5x+6)/([x]-1)where...

Domain of`f(x)=log(x^2+5x+6)/([x]-1)`where [.] denotes greatest integer function:

A

`(-oo,-3)uu(-2,oo)`

B

`(-oo,-3)uu(1,oo)`

C

`(-oo,-3)uu(-2,1)uu[2,oo)`

D

`(-2,1)`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

f(x)=sin^-1[log_2(x^2/2)] where [ . ] denotes the greatest integer function.

f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

Find the domain of the function f(x)=log_(e)(x-[x]) , where [.] denotes the greatest integer function.

The range of f(x)=(2+x-[x])/(1-x+[x]) .where [ ] denotes the greatest integer function is

Find the domain and range of f(x)=log[ cos|x|+1/2] ,where [.] denotes the greatest integer function.

Find the domain and range of the following function: f(x)=log_([x-1])sinx, where [ ] denotes greatest integer function.

Domain of the function f(x)=(1)/([sinx-1]) (where [.] denotes the greatest integer function) is

let A be the greatest value of the function f(x)=log _(x) [x], (where [.] denotes gratest integer function) and B be the least value of the function g (x) = |sin x | +|cos x| , then :

If f(x) = log_([x-1])(|x|)/(x) ,where [.] denotes the greatest integer function,then

Draw the graph of f(x)=(2^(x))/(2^([x])) where [.] represents greatest integer function and find the domain and range.