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If f(x) = 2{x} + 5x, where {x} is fractional part function of x, then find f(– 6) - Mathematics and Statistics

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Question

If f(x) = 2{x} + 5x, where {x} is fractional part function of x, then find f(– 6)

Sum

Solution

f(x) = 2{x} + 5x

{– 6} = – 6 – [– 6]

= – 6 + 6

= 0

f(– 6) = 2{– 6} + 5(– 6)

= 2(0) – 30

= – 30

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Algebra of Functions
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Chapter 6: Functions - Exercise 6.2 [Page 128]

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