Maths Olympiad Exam

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Maths Olympiad Other Question

Let R denote the set of all real numbers. Find all functions f : R → R satisfying the
condition
f(x + y) = f(x)f(y)f(xy)
for all x, y in R. HW:8'VXHM:701N>fBiHI4~70jm:²lp+VY