Finding the inverse of functions

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I have the question " Find an equation for the inverse for the relation $y = -8x + 16$".

I get the answer $f^{-1}(x) = (x-16)/-8$.

Is this final answer correct ?

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Yes. You are correct. You may want to remove the minus sign: $$ f^{-1}(x)=\frac{16-x}{8}. $$