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

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Answer 1 · 2018-03-11T05:00:45

$RR//{-5}$

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 $4x +20$ to find out the domain

$4x +20 != 0$

$4x != -20$

$x!= -5$

Therefore the domain is $RR//{-5}$

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