For the given function, find the vertical and horizontal asymptote(s) (if there are any). f(x) = the quantity x squared plus four x minus three divided by the quantity x minus six

vertical asymptote: x=6

Horizontal asymptote: doesn't exist.

Step-by-step explanation:

Given function is

To find vertical asymptote, we just set denominator =0 and solve that for x

Given denominator is x-6

then x-6=0

or x=6

Hence vertical asymptote: x=6

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We see that degree of numerator = 2

degree of denominator = 1

When degree of numerator is not equal to degree of denominator then horizontal asymptote doesn't exist.

Horizontal asymptote: doesn't exist.

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

75

step-by-step explanation: