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The domain of the function f(x)=(1)/(sqr...

The domain of the function `f(x)=(1)/(sqrt(|cosx|+cosx))` is

A

`[-2npi,2npi], n in N `

B

`(2n pi, (2n +1)pi), n in Z`

C

`((4n+1)(pi)/(2),(4n+3)(pi)/(2)), n in Z`

D

`((4n-1)(pi)/(2),(4n+1)(pi)/(2)), n in Z`

Text Solution

Verified by Experts

The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Exercise
  1. The domain of definition of the function f(x)=log(3){-log(4)((6x-4)...

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  2. The domain of definition of the function f(X)=x^(log(10)x, is

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  3. The domain of the function f(x)=(1)/(sqrt(|cosx|+cosx)) is

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  4. If the function f(x)=log(x-2)-log(x-3) and g(x)=log((x-2)/(x-3)) are i...

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  5. The domain of definition of the function f(x)=sin^(-1)((4)/(3+2 cos x)...

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  6. The domain of the function f(x)=cos^(-1)[secx], where [x] denotes the ...

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  7. Let f be a real vlaued fuction with domain R such that f(x+1)+f(x-1)=s...

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  8. Let f be a real valued function with domain R satisfying f(x + k) =1+[...

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  9. The function f(x) given by f(x)=(sin 8x cos x-sin6x cos 3x)/(cos x cos...

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  10. If f(x) and g(x) are two real functions such that f(x)+g(x)=e^(x) and ...

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  11. Let f(x)=|x-2|+|x-3|+|x-4| and g(x)=f(x+1). Then :

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  12. If T(1) is the period of the function f(x)=e^(3(x-[x])) and T(2) is th...

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  13. Find the range of f(x)=sqrt(cos(sinx))+sqrt(sin(cosx)).

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  14. Find the domain of the function: f(x)=(sin^(-1)(x-3))/(sqrt(9-x^2))

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  15. If f: RvecR and g: RvecR are defined by f(x)=2x+3a n dg(x)=x^2+7, then...

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  16. Suppose f:[-2,2] to R is defined by f(x)={{:(-1 " for " -2 le x le 0...

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  17. If f:R->R and g:R->R is given by f(x) =|x| and g(x)=[x] for each x in ...

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  18. If a , b are two fixed positive integers such that f(a+x)=b+[b^3+1-3b^...

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  19. The domain of the function f(x)=(log)(3+x)(x^2-1) is (-3,-1)uu(1,oo) ...

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  20. Period of f(x)=sin3x cos[3x]-cos3x sin [3x] (where [ ] denotes the gre...

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