3 years ago

Write a rational function with no vertical asymptotes and no holes. Please explain.

Mathematics

1 answer:

Ksju [112]3 years ago

4 0

ANSWER

$f(x) = \frac{ {x}^{2} }{ {x}^{2} + 1 }$

EXPLANATION

We write the function such that both the numerator and the denominator are prime.

An example of a rational function with no vertical asymptotes and no holes is

$f(x) = \frac{ {x}^{2} }{ {x}^{2} + 1 }$

For the above rational function, the denominator is never zero, so there are no vertical asymptotes.

Also the highest common factor for the numerator and the denominator is 1 so there are no holes.

You might be interested in

The coordinates of f(n)=−3 is 5

mash [69]

Where’s the picture? Or link?

3 0

3 years ago

Jim wishes to buy 3 gifts that cost 15 dollars, 9 dollars, and 12 dollars. he has 1/4 of the money he needs, how much more money

Archy [21]

In order to solve this, you have to plug in all of the costs of the gifts and add them, which in all equals $36. since jim only has 1/4 of the money he needs to buy the gifts, you need to divide 36 by 4. this gives you 9, so now you know he has 9 dollars.
and to find out how much more money he needs, you can subtract 9 from 36 which represents a fourth of the required money. the answer is 27, that's how much jim needs in order to buy his gifts.

7 0

3 years ago

How to write 100203 in standard form

natima [27]

100203 = 1.00203 x 10^5

8 0

2 years ago

Create a polynomial function in factored form that has the following characteristics: zero at x = 1, multiplicity of 2; zero at

Nataliya [291]

$(x-1)^{2} (x+2)$

3 0

3 years ago

A local factory uses a manufacturing process in which 70% of the final products meet quality standards and 30% are found to be d

frosja888 [35]

<span>Answer:
a manufacturing process has a 70% yield, meaning that 70% of the porducts are acceptable and 30% are defective. If three of the products are randomly selected, find the probability that all of them are acceptable. ---
Ans: 0.7^3 = 0.3430.</span>

8 0

3 years ago