# Math Help - Graph f(x)=.........

1. ## Graph f(x)=.........

Sketch the graph of $f(x)=\frac{x+4}{x-5}.$ Sketch the graph of $g(x)=3x-8$ on the same graph as $f(x)$. Determine where $f(x)\geq g(x)$.

I have the two graphed out, just need help with determining where f(x) is greater or equal to g(x). Thanks.

2. Originally Posted by Raj
Sketch the graph of $f(x)=\frac{x+4}{x-5}.$ Sketch the graph of $g(x)=3x-8$ on the same graph as $f(x)$. Determine where $f(x)\geq g(x)$.

I have the two graphed out, just need help with determining where f(x) is greater or equal to g(x). Thanks.
Simply look where f(x)'s graph has a greater y-value then g(x)

3. It seems to me that $f(x) > g(x)$ where $x < 6$

4. Just as a note, I've typically found it to be a bit easier to see where $f(x) - g(x) \geq 0$. Mathematically they are the same, but it just seems to work better for me.

-Dan