SOLUTION: state the domain of the rational function F(x)= X-3/X^2+7x I dont understand how to do that . Please Help

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Question 363591: state the domain of the rational function
F(x)= X-3/X^2+7x
I dont understand how to do that . Please Help

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
*Note the 'domain' represents the all the x values that would satisfy the function F(x).
F%28x%29=+%28%28x-3%29%2F%28x%5E2%2B7x%29%29=%28%28x-3%29%2F%28x%2A%28x%2B7%29%29%29
Note: the Denominator cannot! be zero
Therefore: x = 0 and x = -7 are not allowed as part of the domain.
The domain of this function would be all real values of x excluding x=0 and x =-7