How do you find the domain and range of #f(x)=1/(3x-6)#?

1 Answer
Omar T. · Stefan V.
Oct 21, 2015

#y in RR "\" {0}#
#x in RR "\" {2}#

Explanation:

Finding the Vertical asymptote by making sure that the denominator cannot reach zero.

#3x-6!=0#

#3x!=6#

#x!=2#

Find the Horizontal asymptote by knowing that when degree of denominator > degree of numerator, H.A = 0.

Therefore, #y!=0#

Since there are no other restrictions, #y in RR "\" {0}# and #x in RR "\" {2}#.

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