1.

Find the domain of the range of each of the following real functions: `f(x)=(x^(2)-9)/(x-3)`

Answer» Correct Answer - dom `(f)=R-{3}," range "(f)=R-{6}`
`f(x)=(x^(2)-9)/(x-3)impliesy=x+3`, when `xne3`. `:.dom(f)=R-{3}`.
Let y=f(x). Then,
`y=(x^(2)-9)/(x-3)impliesy=x+3`, when `xne3`
`impliesyne3+3impliesyne6`.
`:."range "(f)=R-{6}`.


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