SOLUTION: Find the domain of the rational function h(x)= x-80 over x to the 3rd - 2x to the 2nd - 35x

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Question 200689: Find the domain of the rational function
h(x)= x-80 over x to the 3rd - 2x to the 2nd - 35x
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Find the domain of the rational function
h(x)= x-80 over x to the 3rd - 2x to the 2nd - 35x
.
Domain is all real numbers EXCEPT when 'x' makes the denominator zero.
Find those exceptions by setting the denominator to zero and solving for x:
x%5E3-2x%5E2-35x+=+0
x%28x%5E2-2x-35%29+=+0
x%28x-7%29%28x%2B5%29+=+0
x = {0, 7, -5}
.
Therefore, the domain is
"All real numbers, except for 0, 7 and -5"