Answer:
The answer to your question is: (5/2, -6)
Step-by-step explanation:
Given f(x) = (6x - 36) / (2x² - 17x + 30)
Factorize both, numerator and denominator
Numerator = 6(x - 6)
Denominator = 2x² - 12x - 5x + 30
= 2x(x - 6) - 5(x - 6)
= (x - 6) (2x - 5)
Now f(x) = 6(x - 6) / (x - 6) (2x - 5) Cancel (x - 6)
f(x) = 6 / 2x - 5
Find the hole 2x - 5 = 0
2x = 5
x = 5/2
In 5/2 there is a hole, in y is approximately -6
