SOLUTION: I need to make a rational function with a horizontal asymptote at y=3, vertical asymptote at x=2 and is never negative and figure out if it has any roots.

Question 1003519: I need to make a rational function with a horizontal asymptote at y=3, vertical asymptote at x=2 and is never negative and figure out if it has any roots.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
maybe the simplest you may determine. Root will be at x=0.
Answer by ikleyn(52847) (Show Source): You can put this solution on YOUR website!
.
The plot below is in support of the previous solution:

Figure. Plot of

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