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

A Write the function equation for T(z)

B Find T(3) Show your work

C Find T(1/2) Show your work

D Discuss the result you found for part C. How might this be related to the current discussion of Domain and Range.

Verified Answer :

toporc

\(T(z)= \frac{ \frac{2}{3} z}{z- \frac{1}{2} }\)
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.

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