SOLUTION: 3/x^2+7, find if the rational expression is undefined

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Question 841462: 3/x^2+7, find if the rational expression is undefined
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Guessing that you REALLY mean 3%2F%28x%5E2%2B7%29, yes. This rational expression is defined for all real numbers. The denominator has no restriction; the value of x has no restriction. If you doubt this, then try checking x%5E2%2B7=0. This will not happen unless you allow for imaginary numbers. That expression will never be zero, so the given rational expression will have no restriction in the denominator, so no worry about division by zero.

x%5E2=-7
x=0%2B-+sqrt%28-7%29, which requires the use of imaginary numbers.