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Question
If f(x) = 4[x] − 3, where [x] is greatest integer function of x, then find f(2π), where π = 3.14
Solution
f(x) = 4[x] − 3
f(2π) = 4[2π] − 3
= 4[6.28] − 3 ...[∵ π = 3.14]
= 4(6) − 3 ...`[(because 6 ≤ 6.28 < 7),(therefore [6.28] = 6)]`
= 21
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