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Question
If f(x) = 2{x} + 5x, where {x} is fractional part function of x, then find f(– 1.2)
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Solution
f(x) = 2{x} + 5x, where {x} = x – [x]
f(– 1.2) = 2{– 1.2} + 5(– 1.2)
= 2(– 1.2 – [– 1.2]) – 6
= 2(– 1.2 – (– 2)) – 6
= 2(0.8) – 6
= – 4.4
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