Respuesta :
Answer:
The domain of the function is [tex](-\infty, -3)\cup(-3,\infty)[/tex]
Step-by-step explanation:
Consider the provided rational function.
[tex]f(x)=\frac{x-1}{x+3}[/tex]
We need to determine the domain of the rational function.
Domain of a rational function is all real numbers except those for which the denominator is 0.
The denominator of the rational function is [tex]x+3[/tex]
From the above definition we know that:
[tex]x+3\neq 0[/tex]
[tex]x\neq -3[/tex]
That means for x=-3 the denominator is 0. Therefore, the domain of the function is all real number except -3.
Thus, the domain of the function is [tex](-\infty, -3)\cup(-3,\infty)[/tex]
Answer:
d.) (-(infinity),-3) (-3, (infinity)) is correct
Step-by-step explanation:
took the text otday and it was correct
