SOLUTION: what is the domain of g(x)= 2x-3/ 7x + 20x^2 - 3x^3

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Question 312672: what is the domain of g(x)= 2x-3/ 7x + 20x^2 - 3x^3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The domain is all x except those that make the denominator zero since division by zero is undefined.
7x%2B20x%5E2-3x%5E3=x%28-3x%5E2%2B20x%2B7%29
7x%2B20x%5E2-3x%5E3=-x%283x%5E2-20x-7%29
7x%2B20x%5E2-3x%5E3=-x%283x%2B1%29%28x-7%29
Three solutions:
x=0
.
.
.
3x%2B1=0
3x=-1
x=-1%2F3
.
.
.
x-7=0
x=7
.
.
.
The domain is all x except x=0, x=-1%2F3, and +x=7+
.
.
+graph%28+300%2C+300%2C+-2%2C+8%2C+-5%2C+10%2C+%282x-3%29%2F%287x%2B20x%5E2-3x%5E3%29%29+