Respuesta :

wegnerkolmp2741o

Answer:

Domain : {all real number :x ≠5 /6 ,  x  ≠-3}

Step-by-step 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}