Question

How do I find the horizontal asymptote of 1/(x+7)+3? Show work please.

Answer 1

\[\Large \frac{1}{x+7}+3\]

\[\Large \frac{1}{x+7}+3*\frac{x+7}{x+7}\]

\[\Large \frac{1}{x+7}+\frac{3(x+7)}{x+7}\]

\[\Large \frac{1}{x+7}+\frac{3x+21}{x+7}\]

\[\Large \frac{1+3x+21}{x+7}\]

\[\Large \frac{3x+22}{x+7}\]


So \[\Large \frac{1}{x+7}+3\] simplifies to \[\Large \frac{3x+22}{x+7}\]

Let me know if you can take it from here

Answer 2

I'm still confused on how to get the horizontal asymptote.

Answer 3

What are the leading coefficients for \[\Large \frac{3x+22}{x+7}\]

Answer 4

3 and 1?

Answer 5

now divide them to get the horizontal asymptote: 3/1 = 3

So the horizontal asymptote is the equation y = 3

Answer 6

oh ok, thanks so much!

Answer 7

np