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If f(x) =(10^(x)-10^(-x))/(10^(x) +10^(-...

If `f(x) =(10^(x)-10^(-x))/(10^(x) +10^(-x))` then `f^(-1)(x)`=

A

`log_(10)(2-x)`

B

`1/2log_(10)[(1+x)/(1-x)]`

C

`1/2log_(10)(2x-1)`

D

`1/4 log_(10)(2x)/(2-x)`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-FUNCTIONS -EXERCISE -II
  1. Observe the following Lists: Then the match for List -1 from Lis...

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  2. If f(x) =(e^(x) + e^(-x))/2, then the inverse function of f(x) is:

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  3. If f(x) =(10^(x)-10^(-x))/(10^(x) +10^(-x)) then f^(-1)(x)=

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  4. Let f: [1/2, 1] to [-1,1] is given by f(x) =4x^(3)-3x and f^(-)(x) is ...

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  5. The domain fo f(x)=(1)/(|sinx|+sinx) is

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  6. The domain of the function: f(x) =(tan 2x)/(6 cos x + 2 sin 2x) is:

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  7. The domain of the function f(x) = sqrt("cosec"x-1) is:

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  8. If f(x)=|sinx| has an inverse if its domain is

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  9. Domain of sin^(-1) 5x is:

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  10. The doamin of sqrt(1-3x)+Cos^(-1).(3x-1)/(2) is

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  11. Domain of Cos^(-1)sqrt(3x) is

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

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

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

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

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

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

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

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

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

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