gx 2x 3x 22x 3 What isare the vertical asymptotes What i

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?

Solution

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.