Given $f (x) = x + [x],$ where $[.]$ denotes the GIF, find the value of $[f (1.4) + f (2.7)]$ is:

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Solution

Given: $f (x) = x + [x]$
Here $[.]$ denotes GIF, then
$f (1.4) = 1.4 + [1.4] = 1.4 + 1 = 2.4 f (2.7) = 2.7 + [2.7] = 2.7 + 2 = 4.7$
$\Rightarrow [f (1.4) + f (2.4)] = [2.4 + 4.7] = [7.1] = 7$

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