Question 1155244
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a) 2x+3.  No; 2x+3 is 0 when x is -1.5<br>
b) sqrt(x^2+5).  Yes! sqrt(x^2+5) is always greater than 0<br>
c) x^2-9.  No, x^2-9 is 0 when x is 3 or -3<br>
d) x^2-x-6 = (x-3)(x+2).  No, that is 0 when x is 3 or -2<br>
e) 2321.  Yes; that is obviously never 0<br>
ANSWERS: b and e<br>
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I stand corrected.  I did not know that the definition of rational function required both numerator and denominator to be polynomials.  My previous understanding was that a rational function was simply a ratio of two functions....<br>