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Find the domain of each of the following...

Find the domain of each of the following real valued functions of real variable: `f(x)=(x^2+2x+1)/(x^2-8x+12)`

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`f(x)=(x^(2)2x+1)/(x^(2)-8x+12)` is defined when `x^(2)-8x+12ne0.`
`{:(because,x^(2)-8x+12ne0),(therefore,x^(2)-6x-2x+12ne0),(therefore,x(x-6)-2(x-6ne0)),(therefore,(x-6)(c-2)ne0):}`
Then, `x-6ne0and x-2ne0impliesxne2and xne6.`a Then, f (x) is a function for all real values except, 2 and 6.
Therefore, Domain of f(x) = R - {2,6).
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