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The domain of definition of the function `f(x)=log_(2)[-(log_(2)x)^(2)+5log_(2)x-6]` , is

A

`(4,8)`

B

[4,8]

C

`(0,4) cup (8,oo)`

D

`R-[4,8]`

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-REAL FUNCTIONS -Exercise
  1. The domain of definition of f(x)=log(10) log(10)…..log(10)x , is

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  2. The domain of the function f(x) = log10 log10 (1 + x ^3) is

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  3. The domain of definition of the function f(x)=log(2)[-(log(2)x)^(2)+5...

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  4. The domain of definition of f(x)=log(3)|log(e)x|, is

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  5. The domain of definition of the function f(x)=log(3){-log(4)((6x-4)...

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  6. The domain of definition of the function f(X)=x^((1)/(log(10)x)), is

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

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

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

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

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

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

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

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  15. Let f (x)=|x-2|+|x - 3|+|x-4| and g(x) = f(x+1). Then 1. g(x) is an ev...

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

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  17. If f(x)=sqrt(|3^(x)-3^(1)|-2) and g(x)=tan pi x, then domain of fog(x)...

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  18. Find the range of f(x)=sqrt(sin(cos x))+sqrt(cos(sin x)).

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  19. The domain of the function f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))), is

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  20. If f: R to R and g: R to R are defined by f(x)=2x+3 and g(x)=x^(2)+7 ,...

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