Question

Identify the asymptote(s) of this function: y=5/(x-4)+1

Answer 1

$y= \frac{5}{(x-4)+1}$
$y= \frac{5}{x-3}$
So you take the denominator and compare to zero. 
$x-4+1=0$
$x-3=0$
$x=3$
Then the horizontal asymptote is y = 0