Find the domain of the ration function

Question

C(x)=       -6____

            x²-25

 

Answer 1

x² - 25 ≠ 0 

x₁₂ ≠ ± 5 

So, the domain of the given function is set of all real numbers exclude ± 5, or 

(- ∞, - 5)U(- 5, 5)U(5, + ∞)