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The domain of the function f(x)=(sin^(-1...

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

A

`[2,3]`

B

`[2,3]`

C

`[1,2]`

D

`[1,2[`

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The correct Answer is:
B
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ML KHANNA-FUNCTIONS-PROBLEM SET (3)
  1. Domain of the function sin^-1(3/(4+2sin x )) is

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

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

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  4. The domain off (x) = sqrt""(cos(sin x)] + sin^(-1) ((x^2 +1)/( 2x)) ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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