Q.

Let  fx,gx be two continuous functions defined from RR ,such that f(x1)>f(x2) and g(x1)<g(x2) , x1>x2. Then the complete solution set of f(g(α22α))>f(g(3α4)) is given by

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a

α(4,)

b

α(,1)

c

αR[1,4]

d

α(1,4)

answer is D.

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Detailed Solution

since f is increasing, g is decreasing , fog is decreasing α22α<3α4α(1,4)

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