Question

A function T multiplies the input z by 2/3 and divides that by the quantity (z-1/2) .

Answer 1

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T (z) = 2/3z over z - 1/2
T(3) = 2/2.5 = 4/5 or 0.8
T(1/2) is indeterminate, he reason being that the denominator becomes zero. Division by zero gives an indeterminate result.