Answer
$f(t)=\dfrac12
(4)^t$
Work Step by Step
$$f(t)=\left(\dfrac12\right)^{1-2t}=\dfrac12 \cdot \left(\dfrac12\right)^{-2t}=\dfrac12 \cdot
(2^2)^t=\dfrac12
(4)^t$$
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