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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)=sqrt(3x-5)`

Text Solution

Verified by Experts

The correct Answer is:
dom `(f)=[(5)/(3),oo)," range "(f)=R-[0,oo)`
`f(x)=sqrt(3x-5)` is defined only when `3x-5ge` i.e., when `3x-5ge0`, i.e., when `xge(5)/(3)`.
`:."dom "(f)={(5)/(3),oo}`.
`xge(5)/(3)impliesf(x)ge0" range "(f)=R-[0,oo)`.
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