The lee’s have three children. the oldest is twice as old as the youngest. the middle child is five years older than the youngest. if the sum of the ages is 57, how old is each child?

There are asymptotes at:

In a rational function the holes are the points where both numerator as well as denominator of the given rational function is zero.

Also, if the degree of the numerator is smaller than the degree of the denominator then the rational function has horizontal asymptote at y=0

and the vertical asymptotes are the values of x where the denominator of the rational function is equal to zero.

We are given a rational function f(x) by:

This could also be represented by:

Hence, the numerator is zero when :

and the denominator is zero when,

Since, there is no such x such that the numerator and denominator both are zero.

Hence, the rational function does not has holes.

Also, the vertical asymptotes are at:

( Since, the denominator is zero at that point)