Question

I find inverse of
$f = {x,(5x - 3 \div 2x + 1),x€r}​$
​

Answer 1

Answer:

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Answer 2

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To find :-

$Inverse \: of \: f(x) = \frac{5x - 3}{2x + 1}$

Solution :-

$Let \: y = \frac{5x - 3}{2x + 1} \\ = > \: 2xy + y = 5x - 3 \\ = > \: 5x - 2xy = y + 3 \\ = > \: x(5 - 2y) = y + 3 \\ = > \: x = \frac{y + 3}{5 - 2y}$

$Hence \: {f}^{ - 1} (x) = \frac{x + 3}{5 - 2x}$

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