Question: Prove that F 3 ( k , x ) : = F ( k , x ) x is a secure PRF . Do so

Prove that F3(k, x) := F(k, x) x is a secure PRF. Do so by proving the contrapositive:
show that if an adversary A3 can distinguish F3(k,) from a random function then there is
adversary B (that is a wrapper around A3) that can distinguish F from a random function.
This B will play the role of challenger to A3, and attack F

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