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Let f:[2,infty) rarr [1, infty) defined ...

Let `f:[2,infty) rarr [1, infty)` defined by `f(x)=2^(x^(4)-4x^(2))` and `g:[pi/2,pi] rarr A` defined by `g(x)=(sinx+4)/(sinx-2)` be two invertible functions.
The domain of `f^(-1)g^(-1)(x)` is

A

[-5, sin 1]

B

`[-5,(sin 1)/(2-sin1)]`

C

`[-5,-((4+sin 1))/(2-sin1)]`

D

`[-((4+sin 1))/(2-sin1), -2]`

Text Solution

Verified by Experts

The correct Answer is:
c
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  11. Let f :[2,oo)to {1,oo) defined by f (x)=2^(x ^(4)-4x ^(3))and g : [(pi...

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