SOLUTION: Determine the domain of the rational function: R(x)= (x-5)/(4x-9)(x+1)

Question 504772: Determine the domain of the rational function:
R(x)= (x-5)/(4x-9)(x+1)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Determine the domain of the rational function:
R(x)= (x-5)/(4x-9)(x+1)
**
R(x)= (x-5)/(4x-9)(x+1)
Set denominator=0, then solve for x.
(4x-9)(x+1)=0
4x-9=0
x=9/4
and
x+1=0
x=-1
{x|x≠-1, x≠9/4}
Domain: (-∞, -1) U (-1, 9/4) U (9/4, ∞)
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