Algebra
posted by Rachale .
Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer possible:
Vertical asymptotes x = 4, x = 5;
xintercept (2, 0)

Try
f(x)=(x+2)/((x+4)(x5))
the term x+2 will give a xintercept at x=2, the denominator gives vertical asymptotes at x=4 and 5.
See http://i263.photobucket.com/albums/ii157/mathmate/rational.png