Q.

Let  f(x) ,  g(x)  be two continuous functions defined from  RR , such that     f(x1)>f(x2)  and  gx1<gx2,x1>x2   . Then the complete solution set of α such that   f(g(α22α))>f(g(3α4))  is given by

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a

α(,1)

b

α(4,)

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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