Question

the equation of the vertical asymptote of
f(x)= 2/2x+9 ?

Answer 1

it's either x= 4.5
x= -4.5
x=9
or x= -9

Answer 2

vertical asymptote -> value of "x" for which "y" becomes infinite or undefined

this happens when the denominator becomes "0"

Answer 3

when you set the denominator to "0" and solve for "x", what do you get?

Answer 4

9

Answer 5

what is the denominator?

Answer 6

9

Answer 7

the bottom part of a fraction is called the denominaor

Answer 8

so, what is the denominator of \[
y={2\over 2x+9}
\]

Answer 9

the bottom part says 2x+9

Answer 10

good.
that is your denominator.
now, we set it to "0" and solve for "x"

Answer 11

x would be -4.5 right?

Answer 12

bingo

Answer 13

ayeee lol aww thank you!

Answer 14

what this means is that,
when x=-4.5, you cannot solve for y
try it :)

Answer 15

y would be 2/0

Answer 16

and can you divide something by 0?try with the calculator

Answer 17

noo wont work

Answer 18

yes. so, that is the vertical "asymptote"
f(x) cannot have a value for x=-4.5
since x=a number is a vertical line, hence the name

Answer 19

okay , i understand it better now