Question 516724: Find the Domain of the given functions:
x/x^2+3x
and
√(X+9)/(x+4)(X-8)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find the Domain of the given functions:
x/x^2+3x
and
√(X+9)/(x+4)(X-8)
**
To find the domain of rational functions, we must find the x-values at which the function becomes undefined, that is, when the denominator=0 To do this, set the denominator=0, then solve for x-values, if any, which makes the denominator=0.
..
For x/x^2+3x
x^2+3x=0
x(x+3)=0
x=0 and -3
Domain:
{x|x≠0,x≠-3}
or
(-∞,-3) U (-3,0) U (0,∞)
|
|
|
