Question

Determine the equations of any vertical asymptotes and the values of x for any holes in the graph of the following rational function. F(g)=(g-7/g^2-11g+28)

Answer 1

x=7 is a hole. The other zero of the denominator is at x=4

Answer 2

how did you figure that out ?

Answer 3

the denom. is factorable: two roots x=7 and x=4
x=7 makes the function = 0/0

Answer 4

zero in the denom. means a vertical asymptote, unless the numerator is zero also, then it's a hole.

Answer 5

can you show how you figured it ?

Answer 6

factor the denominator.

Answer 7

(x- _?_) (x-_?_)

Answer 8

where did you get 4?

Answer 9

11-7?

Answer 10

Did you factor the denominator?

Answer 11

i dont know how thats why i need a drawing.

Answer 12

aww c'mon, you've been factoring quadratics for years now, or at least several semesters... give it a shot..

Answer 13

i dropped out. I have no hands on help.

Answer 14

(x-4)(x-7)

Answer 15

yes

Answer 16

okay so you wouldnt do anything with G^2 or the g's in the equation?

Answer 17

eg x^2 + 3x -18
factors (x+6)(x-3) 3*-6 = -18 6 -3 =3