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If f(x)=cos^(-1)((2-|x|)/(4))+[log(10)(3...

If `f(x)=cos^(-1)((2-|x|)/(4))+[log_(10)(3-x)]^(-1)`, then its domain is

A

`[-2,6]`

B

`[-6,2) uu (2,3)`

C

`[-6,2]`

D

`(-2,2) uu [2,3]`

Text Solution

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The correct Answer is:
B
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ML KHANNA-FUNCTIONS-PROBLEM SET (3)
  1. The domain off (x) = sqrt""(cos(sin x)] + sin^(-1) ((x^2 +1)/( 2x)) ...

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  2. If f(x) = sqrt ""[ cos ( sin x) ] + sin^(-1) ((x^2 +1)/(2x)) + (...

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  3. If f(x)=cos^(-1)((2-|x|)/(4))+[log(10)(3-x)]^(-1), then its domain is

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  4. If y =sin^(-1) [(x-1)/(x+1)] +log (2-x), then its domain is :

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  5. The domain of definition of the function, f (x) = (1 - 3x)^(1//3) + 3 ...

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  6. The function f (x) =cot^(-1) (sqrt((x+3) x)) + cos^(-1) (sqrt(x^2 +3x...

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  7. The function f (x) =( sec^(-1) x)/( sqrt(x-[x])) where [x] denotes the...

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  8. If y= 2^(-x) + cos^(-1) (x/2 -1) + log sqrt(x-[x]) , then its d...

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  9. If y= (sqrt(x^2 -4))/(cos^(-1) (2-x)) then the domain of y is

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  10. The domain of the function f (x)=–(sqrt(4-x^2))/(sin^(-1) (2-x)) is

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  11. The domain of definition of the function f (x) = sin^(-1) ((x-3)//(...

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  12. The domain of the function f(x) = sqrt(3-2^x -2^(1-x) ) + sqrt(...

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  13. sqrt( sin^(-1) ( log2 x ) exists for

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  14. The natural domain of, sqrt(sin^(-1) (2x) + (pi)/(6) ) for all x in ...

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  15. The domain of definition of the function y (x) given by the equation 2...

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  16. Domain of cos^(-1) [2x^2 - 3], where [**] denotes the greatest integ...

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  17. The domain of the function f (x) = sqrt""(2-2x-x^2) is

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  18. f(x) = sqrt([((x + 1) (x-3))/((x-2))] is a real valued function in the...

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  19. The domain of the function sqrt(x^2 - 5x +6 ) + sqrt(2x + 8- x^2) ...

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  20. The domain of the real valued function sqrt((x+2) (5-x) ) - (1)/( s...

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