Find the domain of the function: (will input the function when I can use the equation box, lol.) Find the domain of the function: (will input the function when I can use the equation box, lol.) @Mathematics

Question

anonymous · Answer

$$f(x) = \frac{3+x}{\sqrt{3x^2+2x-5}}$$

anonymous · Answer

3x^2 +2x -5=0
3x^2+5x-3x-5=0
x(3x+5)-1(3x+5)=0
(x-1)(3x+5)
x=1,x=-5/3

Domain=R-{1,-5/3}

anonymous · Answer

so can it be -5/3?  I thought if it's a - under the sqrt symbol it's not possible.

anonymous · Answer

So domain is x >1 or x < -5/3

anonymous · Answer

D={x| x > 1 or x<-5/3}

or 

should I state:

$$(-\infty,\frac{-5}{3})\cup(1,\infty)$$

anonymous · Answer

(−∞,−5/3)∪(1,∞) is the domain.