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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

Answer»

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

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