Find the domain of the function f(x)=x2+2x+1x2−8x+12
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Solution
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The given function is, f(x)=x2+2x+1x2−8x+12 ⇒f(x)=x2+2x+1(x−6)(x−2)
It can be seen that function f is defined for all real numbers except at x=6 and x=2 Hence the domain of f is R−{2,6}
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