SOLUTION: State the domain for the following expressions 6/4x^3 and x+5/x^-36 I'm not sure what they are wanting me to do can someone please help Thank you in advance.

Algebra ->  Systems-of-equations -> SOLUTION: State the domain for the following expressions 6/4x^3 and x+5/x^-36 I'm not sure what they are wanting me to do can someone please help Thank you in advance.      Log On


   

Question 326329: State the domain for the following expressions
6/4x^3
and
x+5/x^-36
I'm not sure what they are wanting me to do can someone please help
Thank you in advance.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The domain is all values of x where the f(x) makes sense.
In these cases, the concern is division by zero which is undefined.
6%2F4x%5E3 is undefined when x=0 so the domain is all x except x=0.
In interval notation, that's written,
(-infinity,0) U (0,infinity)
.
.
.
%28x%2B5%29%2F%28x%5E2-36+%29
Same issue here.
Find x when x%5E2-36=0
%28x%2B6%29%28x-6%29=0
x=+0+%2B-+6
In interval notation, that's written,
(-infinity,-6) U (-6,6) U (6,infinity)