+0

# domain

0
50
1
+255

What is the domain of the function $$f(x) = \frac{(2x-3)(2x+5)}{(3x-9)(3x+8)}~?$$ Express your answer as an interval or as a union of intervals.

Feb 21, 2021

#1
+939
0

The denominator cannot equal 0. The asymptotes are at x = 3 and x = -8/3.

Domain: $$x \in (-\infty, -\frac{8}{3}) \cup (3, \infty)$$

Feb 21, 2021