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

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

A

`[0, pi]`

B

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

C

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

D

`[0, pi/2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the intervals in which the function f(x) = sin^(4) x + cos^(4) x AA x in [0, pi//2] is increasing and decreasing.

The domain of the function: f(x) = sqrt(sin^(-1)(log_(2)x)) + sin^(-1)((1+x^(2))/(2x)) + sqrt(cos(sinx)) is:

The range of the function f(x) = cos[x] where -pi/2 lt x lt pi/2 is

( sin x - cos x)^(2) + cos^(2) ((pi)/(4) - x) in

The period of the function f(x) = p|sin x| + p^(2)|cos x| + g(p) is (pi)/(2) , if p is

If f(x) = sgn (cos x) , then f^(1)(pi/2) is

(sin x + cos x)^(2) + cos^(2)((pi)/(4) + x) in

The sum of the solutions in (0, 2pi) of the equation cos x cos ((pi)/(3)-x)cos((pi)/(3)+x)=(1)/(4) is