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can you please check if i did this right?

Mathematics
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Give an example of a rational function that has no horizontal asymptote and a vertical asymptote at x = 1. Example for horizontal asymptote that has none. x+2 ------- x^2+9+3 Example of a vertical asymptote at x=1 (x-2)(x+3) ------ x-1
not sure what your criteria are for the first one, but the second one is correct.
no horizontal asymptote does not mean asymptote is \(y=0\) it means it doesn't have one so from before that means the degree of the numerator is larger than the degree of the denominator

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therefore unfortunately your answer is not correct. you have to make the degree of the top bigger than the degree of the bottom i can give you an example if you like
ohhh sorry is this good ? x^3+2 ------- x^2+9+3
i am pretty sure that the word AND in this question means they want one function that satisfies both conditions
not two different functions, one with no horizontal asymptote, and a different one with a vertical asymptote at \(x=1\) you are correct to put the \(x-1\) in the denominator
oh your right how do i do that
well, i bet now you can figure it out you know what the denominator has to have right?
x-1?
yes
and since that has degree 1, you numerator only has to have some degree larger than 1
make is simple
*it
x^3+2 ------ x-1
tada
omg are you a teacher?
i am a car
lol seriously
have you ever seen a 73 satellite?
hahahaa!!!!!! lol your a smart car
thanks

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