- #1

KLscilevothma

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**Let f:[rr]--> [rr]**

It isn't a homework problem.

Let f:[rr]--> [rr] be a function such that f(xy)=f(x)+f(y) for all x,y belong to real numbers

a) Show that for all integers n, f(x

^{n})=nf(x)

b) Suppose the inverse of f exists. Show that for all integers n, [f

^{-1}(x)]

^{n}=f

^{-1}(nx)

I know how to do part (a) but not part (b). Could someone please give me some hints/solution. I can't do problems involving "inverse of a function" unless they are very simple, like to find f

^{-1}of f(x)=(1-x)/(1+x) where x does not equal to 1 or -1

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