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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