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The domain of definition of f(x) =(log2(...

The domain of definition of f(x) =`(log_2(x+3))/(x^2+3x+2)`

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`f(x) = (log_2(x+3))/(x^2+3x+2)`
For `f(x)` to be defined:
(i) `(x+3) gt 0 =>x gt -3`
(ii) `x^2+3x+2 !=0 =>(x+1)(x+2) ! = 0 => x != -1 and x !=-2`
`:. ` Domain of `f(x)` will be `(-3,oo)-{-1,-2}.`
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