Mathematics: F(x) = 2x+1/×-1 find the inverse function

F(x) = 2x+1/×-1 find the inverse function

Ответ:

apples2190

15.03.2022

To factor this, start by replacing x with y and then solve for y
$f(x) = \frac{2x+1}{x - 1}$
$x = \frac{2y+1}{y - 1}$
$(y-1)x = \frac{2y+1}{y - 1} * (y-1)$
(y-1)x = 2y+1

Factor out y on the left side.
$\frac{xy - 2y}{y} = x+1$
y(x - 2) = x+1

$\frac{y(x - 2)}{(x-2)} = \frac{x+1}{x-2}$
$y = \frac{x+1}{x-2}$
$f(x)^{-1} = \frac{x+1}{x-2}$

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Ответ:

rsoriano9826

25.01.2021

Mathematics

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F(x) = 2x+1/×-1 find the inverse function

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