Home
Class 11
MATHS
The largest interval lying in [-(pi)/(2)...

The largest interval lying in `[-(pi)/(2),(pi)/(2)]` for which the function :
`f(x)=[4^(-x^2)+cos^(-1)((x)/(2)-1)+log(cosx)]` is defined is :

A

`[0,pi/2)`

B

`[0,pi)`

C

`(-pi/2, pi/2)`

D

`[-pi/4,pi/2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The largest interval lying in [(-pi)/(2),(pi)/(2)] for which the function f(x)= [4^(-x^(2)+cos^(-1)((x)/(2)-1)+log(cos x)] is defined is :

The function f(x)=log(x+sqrt(x^(2)+1)) is :

Domain of the function . f(x) = [log_(10) ((5x-x^2)/(4))]^(1/2) is

The domain of the function f defined by f(x)=(x^(2)+2x+1)/(x^(2)-x-6) is given by :

The domain of the function f defined by : f(x)=sqrt(4-x)+(1)/(sqrt(x^(2)-1)) is equal to :

The interval on which function f(x) = 2x^(3)+9x^(2)+12x-1 is decreasing is

Show that the function defined by f(x)= cos (x^2) is a continuous function.

If f(x) = cos^(-1) [(1-(log x)^(2))/(1+(log x)^(2))] , then f^(')(e) =

Let f:RtoR be a function defined by : f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is :