analytic function

Hi to all

i have this Question that says find the region where the function is
analytic and i have 4 functions

the thing is that i checked my notes and trying to solve it with my
partner and the thing is that what we know is

1) i have to differentiate the function
2) check where it equals zero
3) the function is analytic everywhere accept at the points that makes
the denominator equals to zero......

please if someone can explain the right way to solve this problem



1) s/(s-1)
is analytic at every point except 1.



2) matrix [1/(s+1) s/( (s+2) (s+4) )]
[ 1 0 ]


is analytic at every point except {-1,-2,-4}


3) 1/(s+1)^(3/2)


is analytic at every point except -1.

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thanks to all for the help..... :)

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