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**1. Homework Statement**

Show that the set A = (f:R-->R such that f(x)=mx+b, m not= 0} of affine functions from R to R forms a group under composition of function.

**3. The Attempt at a Solution**

Obviously I need to apply the composition of functions property (f: S->T, g:T->U, g of is function from S to U defined by g(f(x)) for all x element of S), but I'm not sure how to take the first step.