SOLUTION: why is f(x)= 3-sqrt (x)over x+5 not a rational function? why is f(x)= x+2 over 1/2+5 not a rational function? find the Asymptotes of f(x)= 2x^3+5 over 3x-12 find the asymptotes

Question 858556: why is f(x)= 3-sqrt (x)over x+5 not a rational function?
why is f(x)= x+2 over 1/2+5 not a rational function?
find the Asymptotes of f(x)= 2x^3+5 over 3x-12
find the asymptotes of f(x)= 2x^2+11x+15 over x+3
Graph (2) rational functions with (3) branches.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
THIS PART IS NOT CORRECT-----The first question is wrong. The arrangement for the grouping symbols and the use of the word, "over", indicate f(x) in your first question is RATIONAL-----THAT PART WAS NOT CORRECT.
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Much of the rest of your first question's function is imprecise, therefore we do not know which function you really mean.

Now understood more clearly, the square root being present in the numerator forces the function to become irrational for many elements in the domain of x.
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