Answer:
[tex]Dom(f)=(-\infty, -3 )\cup (-3, 3 )\cup (3,-\infty )[/tex]
[tex]Ran(f)=\matyhbb{R}[/tex]
Step-by-step explanation:
[tex]f(x)=\dfrac{x}{x^2-9}[/tex]
Once the denominator can't be zero, [tex]x\neq 3[/tex] and [tex]x\neq -3[/tex]
[tex]Dom(f)=(-\infty, -3 )\cup (-3, 3 )\cup (3,-\infty )[/tex]
The range from the graph is all Real numbers