# graph of partial fraction

#### Anemori

I have a n equation of $$\displaystyle \frac{5x-3}{x(x^2-9)}$$

that needs to be write in partial fraction.

This i what I did:

$$\displaystyle \frac{5x-3}{x(x-3)(x+3)}$$ = $$\displaystyle \frac{A}{x}+\frac{B}{x-3}+\frac{C}{x+3}$$

A= 1/3
B= 2/3
C= -1

result:
$$\displaystyle \frac{1}{3x}+\frac{2}{3(x-3)}-\frac{1}{x+3}$$

now here is the problem:

I have to graph the original and the result partial fraction and use the graphing calc with window [-6,6,1,-5,5,1,1] of both graph.

I don't know how to explain what i see in the graph...

Can you help me how to say it.. they are not the same when i graph it.

#### pickslides

MHF Helper
Well let's start by recognising the values where there is no solution for $$\displaystyle x$$. What are they? What is this called?

#### Anemori

Well let's start by recognising the values where there is no solution for $$\displaystyle x$$. What are they? What is this called?

undefine?