How do you find domain and range for #g(x)=3/x#?

1 Answer
Sep 28, 2015

Answer:

Domain: #RR - {0}#
Range: #RR -{0}#

Explanation:

Given #g(x) = 3/x#

#g(x)# will be defined for all values of #x# except #x=0#
Therefore the domain is all Real values except #0#
There are several ways of expressing this; the Answer (above) shows one way; another is #x in (-oo,0) uu (0,+oo)#

For the range
#color(white)("XXX")g(x) = 3/xcolor(white)("XX")rarrcolor(white)("XX")x = 3/g(x)#
which is defined for all values of #g(x)!=0#
Therefore the range is also all Real values except #0#.