if-f-ax-2b-x-and-f-2a-b-a-find-f-5b-

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

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