# Question: prove or disprove suppose that f r gt r...

###### Question details

prove or disprove

Suppose that f : R -> R is continuous, f(1) > 0, and
f(x)f(y) = f(x+y) for all x, y in R, then there

is a constant c in R such that f(x) = e^{cx}

prove or disprove

Suppose that f : R -> R is continuous, f(1) > 0, and
f(x)f(y) = f(x+y) for all x, y in R, then there

is a constant c in R such that f(x) = e^{cx}