# Math Help - Sketch a reasonable graph of this equation

1. ## Sketch a reasonable graph of this equation

F(x)= x^2 - 9/ x + 3

my teacher gave me this problem for review and i can't figure it out, i think it looks like a parabola facing downward or i don't know because is over x + 3.

2. Originally Posted by Cyberman86
F(x)= x^2 - 9/ x + 3

my teacher gave me this problem for review and i can't figure it out, i think it looks like a parabola facing downward or i don't know because is over x + 3.
well, $F(x)=\frac{x^2-9}{x+3} = \frac{(x-3)(x+3)}{x+3} = x-3$

so, it is just the line y=x-3 but with a hole at x=-3 since F(x) is not defined there..