01-06-2020
Mathematics

contestada

Which equation is the inverse of (x-4)2- ß-by-122
O y=6x2-3x+42
6x-
34
O y=4+ /6x-
34
O y=-4+ /6x-
0 -(x-4)2 -> --6y+12

Which equation is the inverse of x42 ßby122 O y6x23x42 6x 34 O y4 6x 34 O y4 6x 0 x42 gt 6y12 class=

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sqdancefan sqdancefan

01-06-2020

Answer:

see below

Step-by-step explanation:

Interchange x and y, then solve for y.

[tex](x-4)^2-\dfrac{2}{3}=6y-12\qquad\text{given}\\\\(y-4)^2=6x-\dfrac{36-2}{3}\qquad\text{swap x,y; add 2/3}\\\\y-4=\pm\sqrt{6x-\dfrac{34}{3}}\\\\\boxed{y=4\pm\sqrt{6x-\dfrac{34}{3}}}[/tex]

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