Consider the function h(z) = 1/z2 defined on the extended complex plane.(a) Write h as a c...

Consider the function h(z) = 1/z2 defined on the extended complex plane.

(a) Write h as a composition of the reciprocal function and the squaring function.

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(b) Determine the image of the circle under the mapping w = h(z).

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(c) Determine the image of the circle |z − 1| = 1 under the mapping w = h(z).