msj97 msj97
  • 11-11-2021
  • Mathematics
contestada

domain and range of y = x/(x+4)

Respuesta :

surjithayer10otahza surjithayer10otahza
  • 11-11-2021

Answer:

Step-by-step explanation:

[tex]y=\frac{x}{x+4}[/tex]

for domain x+4≠0

x≠-4

domain={R-{-4}}

R=all real numbers.

y(x+4)=x

yx+4y=x

yx-x=-4y

x(y-1)=-4y

[tex]x=-\frac{4y}{y+1} \\y+1\neq 0\\y\neq -1\\[/tex]

so Range ={R-{-1}}

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vpfwfr5qb4 vpfwfr5qb4
  • 11-11-2021
X/x+4= y or vise versa
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