Find \(f(0)\) given some initial conditions.

Algebra Level 1

Let \(f\) be a function whose domain is \(\Bbb R\) that satisfies the conditions, \[f(x+y)=f(x)f(y),\;\text{for all }x\text{ and }y\text{ and }f(0)\neq0.\] Find the value of \(f(0)\).

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