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

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

A

(-2,2)

B

(1,2)

C

(-1,2)

D

(0,2)

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The correct Answer is:
B
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AAKASH SERIES-FUNCTIONS -EXERCISE -II
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  2. Find the domain of the function f(x) = log2(log3(log4/π( tan − 1x)− 1 ...

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

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

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

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

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

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

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

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  10. What is a monotonic function?

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

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

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  13. If f: C to C such that f(z) =z-barz, AA z in C, then f is:

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  14. If RR rarrC is defined by f(x)=e^(2ix)" for x in RR then, f is (where ...

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  15. If R is the set of all real numbers and if f: R -[2] to R is defined b...

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  16. Let Q be the set of all rational number in [0, 1] and f:[0, 1]rarr[0, ...

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  17. If f: R to R is defined by f(x) = 2x+|x|, then f(3x) -f(-x)-4x=

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  18. If f(x)=(25-x^(4))^(1//4) for 0 lt x lt sqrt5 then f(f((1)/(2)))=

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  19. {x in R: x-[x] =5}=

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  20. The domain of f(x) =1/6sqrt(log(10)(5x-x^(2)) is

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