if f(ax+2b)=x and f(2a)=(b/a) find f(5b)=?


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Question Number 145093 by mathdanisur last updated on 02/Jul/21

$i f f (a x + 2 b) = x a n d f (2 a) = \frac{b}{a}$ $f i n d f (5 b) = ?$
	Answered by liberty last updated on 02/Jul/21

	$\Leftrightarrow f (x) = \frac{x - 2 b}{a} \land f (2 a) = \frac{b}{a}$ $\Rightarrow \frac{2 a - 2 b}{a} = \frac{b}{a}; 3 b = 2 a & a = \frac{3 b}{2}$ $t h e n w e g e t f (x) = \frac{2 (x - 2 b)}{3 b}$ $s o f (5 b) = \frac{2 (5 b - 2 b)}{3 b} = 2$
	Commented by mathdanisur last updated on 02/Jul/21

	$C o o l S e r, t h a n k y o u$
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