# How do I find the domain of f(x)=(3x-8)/(4x+20)?

Mar 11, 2018

RR//{-5}

#### Explanation:

In hyperbola functions, we have asymptotes in which the function approaches the asymptote but never reaches it.

 y = a /(x − h)+ k

Take just $x - h$, it cannot never equal 0
as any real number divided by 0 is undefined.

Therefore we just take $4 x + 20$ to find out the domain

$4 x + 20 \ne 0$

$4 x \ne - 20$

$x \ne - 5$

Therefore the domain is RR//{-5}