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g(x) = (2x + 3)/(x + 2)(2x + 3) What is/are the vertical asymptotes? What is the

ID: 3425996 • Letter: G

Question

g(x) = (2x + 3)/(x + 2)(2x + 3) What is/are the vertical asymptotes? What is the horizontal asymptote? Where does the hole appear in the function? What is the oblique asymptote? h(x) = (x + 7) (3x - 4)/(2x + 1)(3x - 4) What is/are the vertical asymptotes? What is the horizontal asymptote? Where does the hole appear in the function? What is the oblique asymptote? p(x) = (3x^2 - 2x + 4)(x - 4)/(x + 5)(x - 4) What is/are the vertical asymptotes? What is the horizontal asymptote? Where does the hole appear in the function? What is the oblique asymptote?

Explanation / Answer

12) In g(x), we have common factor in top and bottom as (2x+3), let's cancel out them together.
so x=-3/2 is a whole.
To get vertical asympote solve x+2=0 for x
=> x=-2.
13) Here degree of the denominator is higher than numerator. So horizontal asympotoe is x=-2
14) x =-3/2
15) There is no oblique asymptote.