Just like rational number division (division of regular fractions), multiply the inverse or the reciprocal. This process is also called "INVERT AND MULTIPLY." For example, suppose you had to divide 1/2 by 3/7. The typical procedure reminds us to "never mind the reason why, just invert and multiply." So following that rule you multiply 1/2 times 7/3 to arrive at the answer of 7/6. This same procedure can be used to divide rational functions.

Sample:

1) Invert right side fraction.

The right side fraction should then look like this: $\frac{(x - 2)}{(3x + 3)}$

2) Replace division symbol with multiplication symbol (remember, never mind the reason why, just invert and multiply).

3) Multiply numerator by numerator and denominator by denominator using the FOIL method.

Numerators: $(x + 1)*(x - 2)$ becomes $x^2 - x - 2$

Denominators: $(x + 3)*(3x + 3)$ becomes $3x^2 + 12x + 9$

4) Reduce fraction (if needed)

Final answer:

For more information, you might be interested in this lesson on dividing rational functions, or you can try searching for more information on Google.