Comprehension \( \quad: \) Consider a function \( f: R \rightarrow R \) such that \( (f(x)+f(z))...

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Comprehension \( \quad: \) Consider a function \( f: R \rightarrow R \) such that \( (f(x)+f(z))(f(y)+f(t))=f(x y-z t)+f(x t+y z) \) where \( x, y, z, t \in R \)
The number of functions \( f: R \rightarrow R \) which satisfy the given functional equation is
(a) 1
(b) 2
(c) 3
(d) None of these
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