please help !!!!

Question

Write a rational function f that has the specified characteristic. (There are MANY correct answers to this question)

Vertical Asymptote: x=2

Horizontal Asymptote y=1/2

Zero: x=1

Answer 1

f(x) = (x-1)/2(x-2) has x=1 as the zero with vertical asymptote x=2, and as x approaches infinity, f(x) approaches x/2x = 1/2 the horizontal asymptote.

f(x) = (x-1)/(2x-4)

or

y = (x-1)/(2x-4)

Answer 2

f(x) = a(x - 1)/(x - 2); y = a = 1/2 is horizontal asymptote.

Because y = (x - 1)/[2(x - 2)]