You can put this solution on YOUR website! These are rational expressions, the domain of rational expressions contain anything EXCEPT what will make the denominator (bottom) equal 0.
1. 6/4x^3
The restricted values are found by setting the denominator equal to 0 and solving for x:
cubed root (x^3)= cubed root (0)
x=0
The domain is all real numbers except 0.
{x|x not= 0} <---set builder notation
(-infinity,0)U(0,infinity) <--interval notation
:
2. (x+5)/(x^2-36)
x=-6 or x=6
{x|x not= +\- 6}
(-infinity,-6)U(-6,6)U(6,infinity)
:
3. (x+5)/(x^2+36)
This results in no real number solution, therefore the domain for this is ALL REAL NUMBERS.
{x|x=R}
(-infinity,infinity)
Happy Calculating!!!
(