It is known that the domain of definition is R. the function FX satisfies f {a + B} = f {a} * f {B}, and f {x} is greater than 0. What is f {1} = 1 / 2 and f {- 2} equal to?

Let a = 1, B = 0, f (1) = f (1) * f (0)
Since f (1) = 1 / 2, then f (0) = 1
In addition, f (2) = f (1 + 1) = f (1) * f (1) = 1 / 4
Let a = 2, B = - 2, f (0) = f (2-2) = f (2) * f (- 2)
f(-2)=f(0)/f(2)=1/(1/4)=4

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