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Find the domain of the range of each of ...

Find the domain of the range of each of the following real functions:
`f(x)=(1)/(x)`

Text Solution

Verified by Experts

The correct Answer is:
dom `(f)=R-{0}," range "(f)=R-{0}`
`f(x)=(1)/(x)` is not difined when x=0. So, dom `(f)=R-{0}`.
Let y=f(x). Then, `y=(1)/(x)impliesx=(1)/(y)`.
`:.` x is defined when y=0. So, range `(f)=R-{0}`.
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