Answer:
[tex]\frac{x-4}{(x+3)(x-5)}[/tex]
Step-by-step explanation:
Since the rational function has vertical asymptotes at -3, and 5, the denominator must equal 0 when x is -3 or 5. Therefore, the denominator must be:
(x+3)(x-5)
Now, to make the x-intercept at (4, 0), the numerator must be equal to 0 when x is 4. Therefore, the numerator must be:
x-4
Therefore, that rational function is:
[tex]\frac{x-4}{(x+3)(x-5_}[/tex]
