Find the domain of the range of each of the following real functions: – InterviewSolution

InterviewSolution

1.	Find the domain of the range of each of the following real functions: `f(x)=(1)/(x-5)`
Answer» Correct Answer - dom `(f)=R-{0}," range "(f)=R-{0}` `f(x)=(1)/((x-5))` is not defined when x=5. So, dom `(f)=R-{5}`. Let y=f(x). Then, `y=(1)/((x-5))impliesx-5=(1)/(y)impliesx=((1)/(y)+5)`. `:.` x is not defined when y=0. So, range `(f)=R-{0}`.

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