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If f(x) = 2{x} + 5x, where {x} is fractional part function of x, then find f(14) - 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"(1/4)`

Sum
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Solution

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

`{1/4} = 1/4 - [1/4]`

= `1/4 - 0`

= `1/4`

`"f"(1/4) = 2{1/4} + 5(1/4)`

= `2(1/4) + 5/4`

= `7/4`

= 1.75

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

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