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let f be a function from set of real numbers to set of real numbers such that modulus of f(x)-f(y) is less than or equal to 6*modulus of (x-y)square for all x,y element of real numbers . if f(3)=6 then f(6)equals:

let f be a function from set of real numbers to set of real numbers such that modulus of f(x)-f(y) is less than or equal to 6*modulus of (x-y)square for all x,y element of real numbers . if f(3)=6 then f(6)equals:

Grade:11

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
7 years ago
f(6) must lies in between [48, -48]. (Hint: Put x = 3 and y=6 in the given inequality and solve it.)

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