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Find the domains of the followings real ...

Find the domains of the followings real valued functions:
(i) `f(x) = (2x^(2)-5x + 7)/((x-1)(x-2)(x-3))`
(ii) `f(x) = 1/((x^(2)-1)(x+3))`
(iii) `f(x) =1/(6x-x^(2)-5)`,
(iv) `f(x) = 1/(x+|x|)`

A

`f(x) gt 0 AA x in (-5, -2) uu (-1, 3) uu (7, oo)`

B

`f(x) lt 0 AA x in (-oo, -5) uu (-2, -1) uu (3, 7)`

C

`f(x)gt 0 AA x in (-5, -2) uu (-1,3) uu(9, oo)`

D

`f(x)lt 0 AA x in (-oo, -5) uu (-2, -1)uu (-2, -1) uu (3, 4)`

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The correct Answer is:
A, B
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