Home
Class 12
MATHS
If f(x)=|sinx| has an inverse if its dom...

If `f(x)=|sinx|` has an inverse if its domain is

A

`[0, pi]`

B

`[0 ,pi//2]`

C

`[-pi//4, pi//4]`

D

`[-pi//2, pi//2]`

Text Solution

Verified by Experts

The correct Answer is:
2
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A(FUNCTIONS)|140 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

Similar Questions

Explore conceptually related problems

If f(x)=log(sinx) , then domain f=

If f(x)=x e^(x) sinx , then find f(x).

Knowledge Check

  • f(x)=(sinx)/(x) is

    A
    increasing in `(0,(pi)/(2))`
    B
    decreasing in `(0,(pi)/(2))`
    C
    Stationary at `x=(pi)/(2)`
    D
    Stationary at x=0

  • A is the domain of f(x) =1/sqrt(|x|-x) and B is the domain of g(x) = sqrt(1-|x|) then A cap B =

    A
    `(-1,0)`
    B
    `[-1,0)`
    C
    `(-1,1)`
    D
    `[-1,1]`

  • f: (-oo ,0] to [0,oo] is defined as f(x) = x^2 . The domain and range of its inverse is

    A
    Domain `(f^(-1))=[0,oo),` range of ` (f^(-1))=(-00,0]`
    B
    Domain of `(f^(-1))=[0,oo),` range of ` (f^(-1))=(-oo,oo]`
    C
    Domain of ` f^(-1)=[0,oo)`, range of ` (f^(-1))=(0,oo)`
    D
    `f^(-1)` does not exist

    • Similar Questions

    Explore conceptually related problems

    If f(x)=sin x + cos x, g(x)=x^(2)-1 , then g(f(x)) is invertible in the domain

    If f(x)=sin x + cos x, g(x)=x^(2)-1 , then g(f(x)) is invertible in the domain

    If f(x)=log(cosx), then domain f=

    f : (-infty,0] rightarrow[0, infty) is defined as f(x) = x^2 . The domain and range of its inverse is

    Let f(x)=log_(e)(x+ sqrt(x^(2)+1)) , domain of f is where f(x) is defined for real values of x, If f is bijective then f^(-1)(x) exists The inverse of f is positive on

    Home
    Profile