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The domain of definition of the function...

The domain of definition of the function `f(x)=sqrt(sin^(-1)(2x)+pi/6)` for real-valued x is

A

`[-1/4,1/2]`

B

`[-1/2,1/2]`

C

1

D

`(-1/2,1/9)`

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The correct Answer is:
A
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AAKASH SERIES-FUNCTIONS -EXERCISE -II
  1. Domain of Cos^(-1)sqrt(3x) is

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  2. The domain of the function f(x) =sqrt(sin^(-1)x) is:

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  3. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

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  4. The domain of sin^(-1)[(3x-1)/2] + sqrt(cos(sin x)) is:

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  5. The domain of the function: f(x) = sqrt(sin^(-1)(log(2)x)) + sin^(-...

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  6. The domain of f(x)=("cosec"^(-1)x)/([x]) is

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  7. The domain of sin^(-1)(x/2-1)+ logsqrt(x-[x]) is:

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  8. The largest interval lying in (-pi/2, pi/2) for which the function f(x...

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  9. The domain of log(tan^(-1)x) is:

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  10. Find the domain of the function f(x) = log2(log3(log4/π( tan − 1x)− 1 ...

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  11. The domain of (tanh^(-1)(2x-3))/sqrt(4-x^(2)) is

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  12. If f:R rarrS, defined by f(x)=sinx-sqrt3cos x+1, is onto, then the int...

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  13. The range of the function f(x)=[sinx+cosx] (where [x] denotes the grea...

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  14. The range of the function: f(x) = tan^(-1)[x], -pi/4 le x le pi/4 wh...

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  15. If f:[2, 3] rarr RR is defined by f(x)=x^(3)+3x-2, then the range f(x)...

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  16. The function f: C to C defined by f(x)=(ax+b)/(cx+d) for x in C where ...

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  17. The function sin^(-1)x + cos^(-1)x (-1 le x le 1) is:

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  18. What is a monotonic function?

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  19. The function f:R rarrR is defined by f(x)=3^(-x). Observe the followin...

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  20. If f: C to C where C is set of complex numbers and f(z)=|z|, then/ ...

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