Answer:
See below for answer and explanations (as well as an attached graph)
Step-by-step explanation:
Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.
Take for example
:
- As x approaches ∞ and -∞, then y approaches 0, which is our horizontal asymptote
- As y approaches ∞ and -∞, then x approaches 0, which is our vertical asymptote
See the graph for a visual.
The solution to the quadratic equation given by:
6x^2+2x-20=0
will be:
6x^2+2x-20=0
factoring the above we get:
6x^2+12x-10x-20=0
6x(x+2)-10(x+2)=0
(6x-10)(x+2)=0
hence:
6x=10
x=10/6=5/3
or
x+2=0
x=-2
Thus the answer is:
x=5/3
x=-2