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} #