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

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

Question

Find the vertical asymptotes, if any, of the graph of the rational function. Show your work.


f(x) = (x-4)/(x(x-4))

welshfella · Answer

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

welshfella · Answer

so basically you need to solve x(x - 4) = 0

the vertical asymptotes will be x = 'the value of a root'

welshfella · Answer

x(x - 4) = 0 
means
x = 0  or x-4 = 0


can you continue?

nthenic_oftime · Answer

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

welshfella · Answer

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

welshfella · Answer

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

welshfella · Answer

add 4 to both sides

x - 4 + 4 = 0 = 4

welshfella · Answer

thats 0 + 4 on the right

welshfella · Answer

sorry gotta go

nthenic_oftime · Answer

sorry i got distracted thank you :)

nthenic_oftime · Answer

yeah i can solve that lol

welshfella · Answer

ok