Question

Find the domain and range of f(x)=x/x^2-9

Answer 1

Answer:

$Dom(f)=(-\infty, -3 )\cup (-3, 3 )\cup (3,-\infty )$

$Ran(f)=\matyhbb{R}$

Step-by-step explanation:

$f(x)=\dfrac{x}{x^2-9}$

Once the denominator can't be zero, $x\neq 3$ and $x\neq -3$

$Dom(f)=(-\infty, -3 )\cup (-3, 3 )\cup (3,-\infty )$

The range from the graph is all Real numbers