Home
Class 12
MATHS
domin off(x)=sin^-1[log2(x^2/2)] where [...

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

Text Solution

Verified by Experts

The correct Answer is:
`(-sqrt(8),-1) cup [1,sqrt(8))`
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

f(x)=sin^(-1)[2x^(2)-3] , where [*] denotes the greatest integer function. Find the domain of f(x).

The number of points of discontinuity of f(x)=[2x]^(2)-{2x}^(2) (where [ ] denotes the greatest integer function and { } is fractional part of x) in the interval (-2,2) , is

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

Find the domain and range of f(x) = sin^-1 (log [x]) + log (sin^-1 [x]) , 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.

The period of the function f(x)=Sin(x +3-[x+3]) where [] denotes the greatest integer function

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is

The number of points where f(x) = [sin x + cosx] (where [.] denotes the greatest integer function) x in (0,2pi) is not continuous is (A) 3 (B) 4 (C) 5 (D) 6