SOLUTION: Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x2 – 16). What values in the denomin

Algebra ->  Rational-functions -> SOLUTION: Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x2 – 16). What values in the denomin      Log On


   



Question 276063: Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x2 – 16). What values in the denominator must we be mindful of?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2F%28x%5E2+-+16%29
The denominator factors to %28x%2B+4%29%2A%28x+-+4%29
If x is either 4 or -4,
the denominator is zero, and that is not allowed
because the expression becomes infinity