# RATL 3 | Lesson 1 | Solution (Writing a Rational Expression)

One possible solution:

$$\dfrac{x+2}{(x-7)(x+1)}$$

In order to write this expression, the denominator had to be zero if $$x$$ were $$7$$ or $$-1$$.  Substituting 3 for $$x$$ into the denominator simplifies to $$-16$$. The numerator must solve for 5 when $$x = 3$$.