Mark the correct alternative in the following:

The function f(x) = 2log(x – 2) – x^{2} + 4x + 1 increases on the interval.

Formula:- The necessary and sufficient condition for differentiable function defined on (a,b) to be strictly increasing on (a,b) is that f’(x)>0 for all x(a,b)

Given:-

f(x) = 2log(x – 2) – x^{2} + 4x + 1

f^{’}(x)=

now for increasing

f^{’}(x)>0

3<0 and x-2>0

and x>2

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