How do you identify the vertical asymptotes of #f(x) = (x+6)/(x^2-9x+18)#?
I found:
You identify the vertical asymptotes by setting the denominator equal to zero: this allows you to see which
So, set the denominator equal to zero:
So your function cannot accept these values for
The two vertical lines of equations:
will be your "forbidden" lines or vertical asymptotes.
Graphically:
By signing up, you agree to our Terms of Service and Privacy Policy
To identify the vertical asymptotes of the function ( f(x) = \frac{x+6}{x^2 - 9x + 18} ), you need to find the values of ( x ) that make the denominator equal to zero. These values are the roots of the denominator polynomial. Then, any ( x )-value that makes the denominator zero but not the numerator will create a vertical asymptote. To find the roots of the denominator polynomial ( x^2 - 9x + 18 ), you can use factoring, the quadratic formula, or completing the square. Once you find the roots, those values will be the ( x )-coordinates of the vertical asymptotes.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- How do you identify all asymptotes or holes for #f(x)=(3x^2-2x-17)/(x-3)#?
- How do you find vertical, horizontal and oblique asymptotes for #(-4x^2 + 8x + 60)/(x^2- 4)#?
- How do you determine if #f(x)=x+absx# is an even or odd function?
- How do you identify all asymptotes or holes for #f(x)=(-x+1)/(x+4)#?
- How do you find the horizontal asymptote for # f(x) = (x+1) / (x+2)#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7