Mathematics

Problem

Consider the function

y = \frac{ax+b}{cx+d}

, where

a, b, c, d

are constants and

c \neq 0

. a. State the domain of the function. b. State the equation of the vertical asymptote. c. Find the axes intercepts. d. Show that for

c \neq 0

\frac{ax+b}{cx+d} = \frac{a}{c} + \frac{b - \frac{ad}{c}}{cx+d}

. Hence explain why the horizontal asymptote is

y = \frac{a}{c}