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Let f and g be real-valued functions such that f(x+y)+f(x-y)=2f(x).g(y)AA x, y in R. Statements 1: If f(x) is not identically zero and |f(x)|le 1 AA x in R, then |g(y)|le 1AA y in R. Statement 2 : For any two real numbers x and y.|x+y| le |x|+|y| |
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Answer» Statement 1 is TRUE, statement 2 is true, statement 2 iscorrect explanation for statement 1. |
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