SOLUTION: Find the equations for the horizontal and vertical asypmtotes of each function: a.) {{{y=1/(x-1)}}} b.) {{{y=x/(sqrt(x^2-9))}}} c.) {{{y=x^3/(x^3-1)}}}

Question 47827: Find the equations for the horizontal and vertical asypmtotes of each function:
a.)
b.)
c.)
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Find the equations for the horizontal and vertical asypmtotes of each function:
a.) y=1/(x-1).........D.R=0 WHEN X-1=0..AND... X=1 IS THE ASYMPTOTE
b.) y=x/(sqrt(x^2-9))...D.R=0 WHEN X^2=9...OR...X=3..AND..X=-3 ARE THE 2 ASYMPTOTES.
FURTHER AS X TENDS TO ZERO Y TENDS TO ZERO.....Y=0 IS ANOTHER ASYMPTOTE
c.) y=x^3/(x^3-1)...D.R=0 WHEN X^3-1=0...OR...X=1..IS THE ASYMPTOTE
FURTHER AS X TENDS TO ZERO Y TENDS TO ZERO....Y=0 IS ANOTHER ASYMPTOTE.

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