Question

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

Answer 1

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

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