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Question

Find the domain of the following function:
f(x)=x25x+6, the domain is (,a)[b,), then a+b =

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Solution

For real values of f(x),
x25x+6>0
Or
(x2)(x3)0
x3 or x2
Hence
xϵ(,2][3,)
Therefore
a=3 and b=2
Therefore
a+b=3+2
=5

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