Question

Find the vertical asymptotes, if any, of the graph of the rational function. Show your work.


f(x) = (x-4)/(x(x-4))

Answer 1

there are asymptotes at the values of x which make the denominator zero.

Answer 2

so basically you need to solve x(x - 4) = 0

the vertical asymptotes will be x = 'the value of a root'

Answer 3

x(x - 4) = 0
means
x = 0 or x-4 = 0


can you continue?

Answer 4

how do i find the root that the value of x will be i understand that the denominator need be zero

Answer 5

well one root is 0 so there an asymptote at x = 0
and if x - 4 = 0
what is x?

Answer 6

I'm sure you can solve x - 4 = 0 ?!!

Answer 7

add 4 to both sides

x - 4 + 4 = 0 = 4

Answer 8

thats 0 + 4 on the right

Answer 9

sorry gotta go

Answer 10

sorry i got distracted thank you :)

Answer 11

yeah i can solve that lol

Answer 12

ok