Transformation & Mapping rule

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$y= 3f(-x+1)+2$

What is the mapping rule?

So I did:

$y= 3f(-x+1)+2 = 3f(-(x-1))+2$
$ \implies (x,y)\to (-x+1, 3y+2)$ (horizontal translation: 1 unit to the right) $\implies (3,5)\to (-2,17)$

However the answer in the text book says the point is $(-4,17)$, which means the mapping rule must be $(-x-1)$, is the answer correct or mine?