Question

Write a function that satisfies these conditions:
a) deleted point at x =3
b) vertical asymptote at x = 0
c) lim x-> +- infinity = -1

Answer 1

so far i have (x-3)/x(x-3) which satisfies a and b, but how do i make it satisfy c?

Answer 2

the degree of the numerator and denominator have to be the same

Answer 3

yes, i multipled the equation i had by -x to make them equal, but how come that doesn't work?

Answer 4

because it cancels with the x in the denominator!!

Answer 5

multiply it by something else
anything else, just not \(-x\)

Answer 6

like \(-x+1\) or \(-x+\pi\) or any damn thing, just not \(-x\) by itself

Answer 7

thanks!! i get it now :D

Answer 8

yw