What are the asymptotes of #f(x)=(4tan(x))/(x^2-3-3x)#?
1 Answer
In resume: The asymptotes of the function are
Explanation:
As we can see on the graph below,
Important note:
graph{4*tan(x) [-10, 10, -5, 5]}
Now, we need to check the cases when
We know that the denominator of the function cannot be 0, because it would create an indeterminacy. So, we also need to check the cases when it does equals 0:
Through Bhaskara's formula, we can find the roots of the function:
So, now we know that when
graph{(4*tan(x))/(x^2-3x-3) [-22.8, 22.8, -11.4, 11.4]}