Question

Use graphs and tables to find the limit and identify any vertical asymptotes of limit of 1 divided by the quantity x minus 9 as x approaches 9 from the left

Answer 1

https://i.gyazo.com/9edc255218408f44850cdf4f8becd7b0.png

Answer 2

The above shows the graph y=1/x
for f(x)=1/(x-9), it's the same graph translated to the right by 9 units.

Answer 3

so its c?

Answer 4

@mathmate ?

Answer 5

"for f(x)=1/(x-9), it's the same graph translated to the \(right\) by 9 units."

Answer 6

so than -infinite; x=9

Answer 7

Yes, as explained below.

When f(x) is transformed to g(x)=a.f(x-h)+k, it is vertically stretched by "a", translated to the right by h, and translated upwards by k.
Here, a=1, k=0 and h=9, so it moves to the right by 9 units.