What is the domain and range of # f(x) = 10/x#?

1 Answer
Alan P.
Aug 24, 2017

Domain of #f(x)=10/x# is #(-oo,0)uu(0,+oo)#

Range of #f(x)=10/x# is also #(-oo,0)uu(0,+oo)#

Explanation:

#f(x)# is defined for all Real values of #x# except #x=0#; so the Domain is all #RR-0# (which is another way of writing the union of open sets shown above).

Conversely, any Real value of #y# except #y=0# can be solved for some value of #x#; so the Range is all #RR-0#.

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