SOLUTION: Explain why the function f(x)=(5x-15)/(x-3) is not asymptotic to the line x=3. Sketch the graph of this function.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Explain why the function f(x)=(5x-15)/(x-3) is not asymptotic to the line x=3. Sketch the graph of this function.      Log On


   

Question 1187367: Explain why the function f(x)=(5x-15)/(x-3) is not asymptotic to the line x=3. Sketch the graph of this function.
Answer by josgarithmetic(39800) About Me  (Show Source):
You can put this solution on YOUR website!
Factor of 1 occurs, so f has a missing point instead.

%285x-15%29%2F%28x-3%29
5%28%28x-3%29%2F%28x-3%29%29
5%2A1
5-------------BUT x cannot be 3 because f(x) cannot accept that input value.

f will be 5 everywhere except is empty (no point there) for x=3.