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If `f(x)a n dg(x)` are two positive and increasing functions, then which of the following is not always true? (a) `[f(x)]^(g(x))` is always increasing (b) `[f(x)]^(g(x))` is decreasing, when `f(x)<1` (c) `[f(x)]^(g(x))` is increasing, then `f(x)> 1.` (d) If `f(x)>1,t h e n[f(x)]^(g(x))` is increasing.

A

`(f(x))^(g(x))` is always incrasing

B

if `(f(x))^(g(x))` is increasing then `f(x) lt 1 `

C

if `(f(x))^(gx))` is increasing then `f (x) gt 1 `

D

if `f(x) gt 1 ` then `(f(x))^(g(x))` is increasing

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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
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