What would be the written equation that represents this function?

y intercept = 3

x intercept = 4

horizontal asymptote = 3/4 (?)

vertical asymptote = 1

f(x) = u(x)/v(x)

y intercept = 3 → u(0) = 3

x intercept = 4 → u(4) = 0 → x - 4 is a factor of u(x)

u(x) = -(3/4)(x-4)

vertical asymptote = 1 → (x-1) is a factor of v(x)

horizontal asymptote = 3/4 → lim(x→⁠±∞) u(x)/v(x) = 3/4

v(x) = k(x-1)

limit(x→±∞) -(3/4)(x-4) / [k(x-1)] = -3/(4k) = 3/4

k = -1

f(x) = -(3/4)(x-4)/[(-(x-1) = 3(x-4)/[4(x-1)]

Ans: f(x) = 3(x-4)/[4(x-1)]

Apply the exact same procedures already given to you in:

https://ca.answers.yahoo.com/question/index?qid=20...