Answer
$ f^{-1} (x)= x^2+6$
Work Step by Step
Re-arrange as: $ y=\sqrt {x-6}$
$ y^2=(\sqrt {x-6})^2$
or, $ y^2=x-6$
or, $ x=y^2+6$
So, $ f^{-1} (x)= x^2+6$
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