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Find the domains of definition of the fo...

Find the domains of definition of the following functions:
(a) `y=(2x-3)/sqrt(x^(2)+2x+3)` (b) `y=log sin(x-3) +sqrt(16-x^(2))`,
(c) `y=sqrt(3-x) +arc cos ""(x-2)/(3)` (d) `y=x/(log (1+x))`

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The correct Answer is:
(a) `(-oo, oo); (b) (3,-2pi, 3-pi) and (3,4); (c) [-1,3]; (d) (-1,0) and (0,oo)`
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