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Let-function-g-x-a-g-ax-a-r-R-and-g-2-3-Find-value-of-g-2016-




Question Number 185815 by naka3546 last updated on 28/Jan/23
Let  function  g(x)  = (a/(g(ax)))  ,   a, r ∈  R^+   and  g(2)  = 3 .  Find value  of  g(2016) .
$$\mathrm{Let}\:\:\mathrm{function}\:\:{g}\left({x}\right)\:\:=\:\frac{{a}}{{g}\left({ax}\right)}\:\:,\:\:\:{a},\:{r}\:\in\:\:\mathbb{R}^{+} \:\:{and} \\ $$$${g}\left(\mathrm{2}\right)\:\:=\:\mathrm{3}\:.\:\:\mathrm{Find}\:\mathrm{value}\:\:\mathrm{of}\:\:{g}\left(\mathrm{2016}\right)\:. \\ $$
Commented by naka3546 last updated on 28/Jan/23
I meant  g(x) ,  sir.
$$\mathrm{I}\:\mathrm{meant}\:\:{g}\left({x}\right)\:,\:\:\mathrm{sir}. \\ $$
Answered by Rajpurohith last updated on 28/Jan/23
Commented by naka3546 last updated on 28/Jan/23
How  about  if  a = 1 ?  g(2) ≠ 3 ?
$$\mathrm{How}\:\:\mathrm{about}\:\:\mathrm{if}\:\:{a}\:=\:\mathrm{1}\:? \\ $$$${g}\left(\mathrm{2}\right)\:\neq\:\mathrm{3}\:? \\ $$
Commented by Rajpurohith last updated on 21/Jun/23
The question is unclear,my friend.
$${The}\:{question}\:{is}\:{unclear},{my}\:{friend}. \\ $$

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