Answer:
Domain : {all real number :x ≠5 /6 , x ≠-3}
Explanation:
The domain of the function is the possible values x can take
X cannot be zero in the denominator
6x^2 +13x -15 ≠0
Factor
(6 x - 5) (x + 3) ≠0
Using the zero product property
(6 x - 5) ≠0 (x + 3) ≠0
(6 x - 5+5 ≠0+5 (x + 3-3) ≠0-3
6x ≠5 x ≠-3
x ≠5 /6 x ≠-3
So x can be any real number but these two
Domain : {all real number :x ≠5 /6 , x ≠-3}