if f(x+1)=(x-2)(x-1) then find f(x)

dear mohd

let x+1 =y

f(y) = (y-3)(y-2)

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replace x with x-1 in f(x+1)=(x-1)(x-2) then u will get f(x)=(x-2)(x-3)

Replace x by x-1,

thus,f(x)=(x-3)(x-2).