subject-advance maths O a.O b.O C.O d.Let assume a functional f on C[-1, 1] byf is linear and continuous0Then which of the following item is false about f?f(x) = [x(t)dt – fx(t)dt.-1ƒ is linear and ||f|| = 3For all x C[-1,1], f(x)| ≤3||||c[-1,1]1The norm of f is 2 and for all x € C[-1,1], |ƒ(x)| ≤ 2 ||x||c(−1,1]

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a. O b. O C. O d. Let assume a functional f on C[-1, 1] by Then which of the following item is false about f? f is linear and continuous 0 1 f(x) = [x(t)dt - [x(t)dt. -1 For all x € C[-1,1], [ƒ(x)| ≤ 3 ||~||c[-1,1] The norm of f is 2 and for all x € C[-1,1], [ƒ(x)| ≤ 2 ||*||[1,1] f is linear and ||f|| = 3