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

Answer 1

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

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#.

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Answer 2

Isaiah Anthony

Domain: All real numbers except x = 0. Range: All real numbers except y = 0.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.