Expert: Paul Klarreich - 3/15/2006

Question
Hi again, i tried to do this problem, i am just looking for verification that it is correct.  If i did something wrong can u please point out what i did?

find the critical numbers of the function:

f(z)=z+1/z^2+z+1

my answer was: z=0 and z=-2

thanks.

Answer
Hi, Chevonne,

Subject:  critical values
Question:  Hi again, i tried to do this problem, i am just looking for verification that it is correct. If i did something wrong can u please point out what i did?

find the critical numbers of the function:

f(z)=z+1/z^2+z+1

my answer was: z=0 and z=-2

thanks.
------------------------
Sorry, I can't answer this as written.  I don't know just what your function was:

f(z)=z+1/z^2+z+1

Does this mean:
           1
f(z) = z + --- + z + 1
          z^2

or
               1
f(z) = z + -----------
          z^2 + z + 1

or

         z + 1
f(z) = -----------
      z^2 + z + 1

Please resubmit the question and write your function carefully.  Use the notation you see above, or parenthesize correctly.