### Home > PC3 > Chapter 5 > Lesson 5.2.2 > Problem5-68

5-68.

If $g(x)=x(x+2)(x-3)$, where are the asymptotes of $y=\frac{1}{g(x)}$?

Sketch $y=g(x)$. Recall that for the reciprocal function, the vertical asymptotes occur at the zeros of the original function. The reciprocal function is positive where the original function is positive.

Sketch a prediction for the original function. Then check your prediction using a graphing calculator. Be sure to identify and correct and errors.