devalynn
Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

someone please help me ASAP. I’ll mark brainliest. thank you <3

For each function identify the degree of the numerator and the denominator.

1. f(x)=(x+5)(x-2)(x-7)/(x+9)(x-6)

2. h(x)=(6x+7)(x-4)/(3x+9) (x) (x^2)

3. g(x)=(5x+8)(x-4)/(3x+9) (x)

Which function in problems 1-3 has a horizontal asymptote at y=0?

Sagot :

sqdancefan

9514 1404 393

Answer:

  1. numerator: 3; denominator: 2; slant aymptote
  2. numerator: 2, denominator 4; y = 0 asymptote
  3. numerator 2, denominator: 2; y = 5/3 asymptote

Step-by-step explanation:

We have to assume you intend everything to the right of the slash (/) to be denominator. Ordinarily, only the first factor would be considered denominator according to the Order of Operations.

ab/cd = (ab/c)d . . . according to the order of operations.

__

The degree of the numerator or denominator is essentially the number of factors involving x.

1. The numerator has 3 factors, hence degree 3. The denominator has 2 factors, hence degree 2. The degree of the numerator is 1 more than the degree of the denominator, so the function will have a slant asymptote.

  degrees: num/den = 3/2

__

2. The numerator has 2 factors, hence degree 2. The denominator has one binomial factor and 3 factors of x, hence degree 4. The degree of the denominator is higher than the degree of the numerator, so the function will have y = 0 as its horizontal asymptote.

  degrees: num/den = 2/4 --- y = 0 horizontal asymptote

__

3. The numerator has 2 factors, as does the denominator. Hence the degree of each is 2. The horizontal asymptote will be a constant equal to the ratio of the leading coefficients: y = 5/3.

  degrees: num/den = 2/2

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.