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If f(x)=|x|^(|sinx|) then f^1(-pi/4) is ...

If `f(x)=|x|^(|sinx|)` then `f^1(-pi/4)` is equal to

A

`(pi/4)^(1//sqrt2)(sqrt(2)/2"In"4/pi-(2sqrt2)/pi)`

B

`(pi/4)^(1//sqrt2)(sqrt(2)/2"In"4/pi+(2sqrt2)/pi)`

C

`(pi/4)^(1//sqrt2)(sqrt(2)/2"In"pi/4+(2sqrt2)/pi)`

D

`(pi/4)^(1//sqrt2)(sqrt(2)/2"In"pi/4-(2sqrt2)/pi)`

Text Solution

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The correct Answer is:
D
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