Write the domain of the rational function in interval notation.

Question

g(x)=9-x/x^3-125

Answer 1

               9-x

g(x) = -----------

            x^3-125

 

x^3-125 ≠ 0

x^3-5^3 ≠ 0

(x-5)(x^2+5x+25)≠0

x-5≠0

x≠5

Domain: X ∈ IR - {5}