Question

Для функции найти обратную: y=5x-4, y=(3x+1)/(x+2)

Answer 1

$y=5x-4\5x=y+4\x=frac{y+4}{5}\y_{obr}=frac{x+4}{5}\\y=frac{3x+1}{x+2}\xy+2y=3x+1\x*(y-3)=1-2y\x=frac{1-2y}{y-3}\y_{obr}=frac{1-2x}{x-3}$

Answer 2

1)y=5x-4
x=5y-4
5y=x+4
y=(x+4)/5=0,2x+0,8
2)y=(3x+1)/(x+2)
x=(3y+1)/(y+2)
3y+1=xy+2x
3y-xy=2x-1
y(3-x)=2x-1
y=(2x-1)/(3-x)