Question: A function f(x) is defined by f(x) = 1/2(10 x + 10 x ), for x in R. Show that (a) 2(f(x)) = f(2x) +

A function f(x) is defined by f(x) = 1/2(10x + 10–x), for x in R. Show that

(a) 2(f(x)) = f(2x) + 1 (b) 2f(x)f(y)= f(x + y) + f(x - y)

(a) 2(f(x)) = f(2x) + 1 (b) 2f(x)f(y) = f(x + y) + f(x - y)

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