Question: We define the first difference of a function by (x) = (x + 1) (x). Show that (10 x )

We define the first difference δ ƒ of a function ƒ by δ ƒ(x) = ƒ(x + 1) − ƒ(x).

Show that δ(10x) = 9 · 10x and, more generally, that δ(bx) = (b − 1)bx.

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