Question

Write a rational function with vertical asymptotes at x=6 and x=-2 and with the zero at x=3.

Answer 1

We receive vertical asymptotes by nearing zero in the denominator, and receive zeroes by getting zero in the numerator, so, we have:
\[
f(x)=\frac{x-3}{(x-6)(x+2)}
\]

Answer 2

omg PRaISE thank you!

Answer 3

Sure thing