Mathematics: Find the inverse of the function y = x^2 + 12x

Find the inverse of the function y = x^2 + 12x - id2126867896, yagalneedshelp8338

kitkat033157

29.01.2022

y=x\\

x=y^{2} + 12y\\

y^{2} + 12y -x = 0\\

Delta = (12^{2}) - 4.1.(-x) = 144 +4X = 36.(4+x)

\sqrt{Delta} = 6 . \sqrt{(4+x)} \\

y' = \frac{-12 + 6.(\sqrt{(4+x)}}{2} = -6 + 3.\sqrt{(4+x)}\\

y" = -6 - 3.\sqrt{(4+x)}

y' = 3.\sqrt{(4+x)} - 6\\

y''= -3.\sqrt{(4+x)} - 6\\

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kaleabussell9

02.01.2023

-1/13

slope: (y2-y1)/(x2-x1). So (12-7)/(-39-26). Simplify that and you get 5/-65, which, simplified, is 1/-13.

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