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Question 6: (4 points) Find the domain, vertical asymptotes, and horizontal asymptotes of the function. f ( x )= x +7 x 2−49 fx=x+7x2−49 Enter the domain in interval notation. To enter ∞ ∞ , type...

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Question 6: (4 points)


Find the domain, vertical asymptotes, and horizontal
asymptotes of the function.



f(x)=x+7x2−49fx=x+7x2−49



Enter the domain in interval notation.



To enter, type infinity. To enter, type U.



Domain:__________



The fields below
accept a list of numbers or formulas separated by semicolons (e.g.
2;4;62;4;6orx+1;x−1x+1;x−1). The order of the lists do not matter.



Vertical asymptotes:



x=x=__________



Horizontal asymptotes:



y=y=__________






Answered Same Day Sep 10, 2022

Solution

Aditi answered on Sep 11 2022
70 Votes
ANSWER
The function is
y = f(x) = x + 7x2 − 49

The domain is x ∈ R − {7}
There is indeed a vertical asymptote at x=7, and it is represented by the equation x-7=0.
In addition, due to the fact that degree of the polynomial in the numerator is lower than the degree of polynomial in the...
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