SOLUTION: y=ax+b/cx+d Find the horizontal and vertical asymptote. Then find inverse function and the inverse's horizontal and vertical asymptote

Algebra ->  Rational-functions -> SOLUTION: y=ax+b/cx+d Find the horizontal and vertical asymptote. Then find inverse function and the inverse's horizontal and vertical asymptote      Log On


   

Question 1093363: y=ax+b/cx+d
Find the horizontal and vertical asymptote. Then find inverse function and the inverse's horizontal and vertical asymptote
Answer by josgarithmetic(39792) About Me  (Show Source):
You can put this solution on YOUR website!
y=ax+b/cx+d
You really mean,
y=(ax+b)/(cx+d)

y=%28ax%2Bb%29%2F%28cx%2Bd%29


First, question asked is about the INVERSE.
(assuming 'inverse relation')
x=%28ay%2Bb%29%2F%28cy%2Bd%29
%28cy%2Bd%29x=ay%2Bb
cxy%2Bdx=ay%2Bb
cxy-ay=b-dx
y%28cx-a%29=b-dx
y=%28b-dx%29%2F%28cx-a%29
highlight_green%28y=%28-dx%2Bb%29%2F%28cx-a%29%29

Horizontal asymptote, y=-d%2Fc

Vertical asymptote, x=a%2Fc