Given the function f: x x^2-5 x+6, evaluate f(x-1) - Vidyadip

Question

Given the function $f: x \rightarrow x^2-5 x+6$, evaluate $f(x-1)$

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Answer

Give the function $f : x \rightarrow x ^2-5 x+6$.
$f(x-1)=(x-1)^2-5(x-1)+6$
$=x^2-2 x+1-5 x+5+6$
$=x^2-7 x+12$

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