Постройте график функции: y= \frac{lx-4l}{x+2} [/tex]

Решите задачу:

$y= \frac{|x-4|}{x+2} \\ D(f) = (-oo; -2) U ) -2; +oo) \\$

$y= \frac{|x-4|}{x+2} = \left \{ {{y= \frac{x-4}{x+2}}, x \geq 4 \atop {y= \frac{-x+4}{x+2}}, x\ \textless \ 4}} \right. = \left \{ {{y= \frac{x+2-6}{x+2}}, x \geq 4 \atop {y= -\frac{x-4}{x+2}}, x\ \textless \ 4}} \right. = \\$
$\left \{ {{y= \frac{x+2}{x+2}-\frac{6}{x+2}}, x \geq 4 \atop {y= -\frac{x+2}{x+2}+\frac{6}{x+2}}, x\ \textless \ 4}} \right. = \left \{ {{y= 1-\frac{6}{x+2}}, x \geq 4 \atop {y= -1+\frac{6}{x+2}}, x\ \textless \ 4}} \right.$