Home
Class 12
MATHS
The domain of y=cos^(-1)(x^(2)-4) is...

The domain of `y=cos^(-1)(x^(2)-4)` is

A

[3, 5]

B

`[0, pi]`

C

`[-sqrt(5), -sqrt(3)] cap [-sqrt(5), sqrt(3)]`

D

`[-sqrt(5), -sqrt(3)] cup [sqrt(3), sqrt(5)]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-II (FILL IN THE BLANKS QUESTIONS)|44 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III (TRUE OR FALSE QUESTIONS)|30 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|27 Videos

  • INDEFINITE INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|15 Videos

  • LINEAR PROGRAMMING

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS |7 Videos

Similar Questions

Explore conceptually related problems

If f_(1) ,(x) and f_(2)(x) are defined on a domain D_(1) , and D_(2) , respectively, then domain of f_(1)(x) + f_(2) (x) is :

Find the domain for f(x)=sin^(-1)((x^(2))/(2)) .

Find domain of sin^(-1) ( 2 x^(2) - 1)

Find domain for " "y=cos^(-1)((1-2abs(x))/4)+log(3-x)^-1.

Find the domain of the following y = cos^(-1) ( x^(2)/( 1 + x^(2)))

The domain of f(x)=sqrt(sin^(-1)(3x-4x^(3)))+sqrt(cos^(-1)x) is equal to

The domain of f(x) = (1)/(sqrt(1-x^(2))) is :