Answer
$f^{-1}(x) = 2x + 6$
Work Step by Step
$f(x) = \frac{x}{2} -3$
Let $f(x) = y$
$y = \frac{x}{2} -3$
$x = \frac{y}{2} -3$
$2x = y - 6$
$2x + 6 = y$
$y = 2x + 6$
$f^{-1}(x) = 2x + 6$
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