Respuesta :

Answer:

domain is set of all x values except -4

Step-by-step explanation:

[tex]f(x)=\frac{x-1}{x+4}[/tex]

Domain is the set of x values for which the function is defined

When the denominator becomes 0 then the function is undefined

to find the values of x that makes the denominator 0, we set the denominator =0 and solve for x

[tex]x+4=0\\x=-4[/tex]

the value -4 make the denominator 0

so domain is set of all x values except -4