Simplifying the function, it's graph is given at the end of this answer.
The function is:
[tex]f(x) = \frac{x^2 - 3x}{x^2 - 9}[/tex]
The numerator can be factored as:
[tex]x^2 - 3x = x(x - 3)[/tex]
Using subtraction of perfect squares, the denominator can be factored as:
[tex]x^2 - 9 = (x + 3)(x - 3)[/tex]
Hence, the simplified function is:
[tex]f(x) = \frac{x^2 - 3x}{x^2 - 9} = \frac{x(x - 3)}{(x + 3)(x - 3)} = \frac{x}{x + 3}[/tex]
Using a calculator, the graph is sketched at the end of this answer.
A similar problem, in which the graph of a function is found, is given at https://brainly.com/question/10389083
