How do I find the inverse of the following rational function?: y = -4(x-2)/(x+1) Any help would be GREATLY appreciated! Thanks in advance!
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Originally Posted by s3a How do I find the inverse of the following rational function?: y = -4(x-2)/(x+1) Any help would be GREATLY appreciated! Thanks in advance! switch x and y $\displaystyle x = \frac {-4(y - 2)}{y + 1}$ now solve for y, the resulting function is your inverse function
My problem is when it comes to solving for y.
$\displaystyle x = \frac {-4(y - 2)}{y + 1}$ $\displaystyle x(y + 1) = -4(y - 2)$ $\displaystyle xy + x = -4y + 8$ $\displaystyle xy + 4y = -x + 8$ $\displaystyle y(x + 4) = -x + 8$ $\displaystyle y = \frac{-x + 8}{x + 4}$ 01
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