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if f(x+y)=f(xy),ybelongs to R,then prove that f is a constant function?
Let x be any real, and y=0.Then f(x+0) = f(x*0)
=> f(x) = f(0) for all real x.Hence the function is a constant function.
Let x be any real, and y=0.Then f(x+0) = f(x*0) => f(x) = f(0) for all real x.Hence the function is a constant function. BECAUSE IT IS A PROPERTY OF CONSTANT FUNCTION.
=> f(x) = f(0) for all real x.Hence the function is a constant function. BECAUSE IT IS A PROPERTY OF CONSTANT FUNCTION.
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