Let f:R→R be a function such that f(x+y)+f(x−y)=f(xy) for all x,y∈R. Then f is:
A. Strictly increasing.
B. Strictly decreasing.
C. Identically zero.
D. Constant but not necessarily zero.
I have no idea how to do this. Thanks for any hint.
Let f:R→R be a function such that f(x+y)+f(x−y)=f(xy) for all x,y∈R. Then f is:
A. Strictly increasing.
B. Strictly decreasing.
C. Identically zero.
D. Constant but not necessarily zero.
I have no idea how to do this. Thanks for any hint.
I have injection f:A→B and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...
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