If f(x)=4[x]-3, where [x] is greatest integer function of x, then… - Vidyadip

Question

If $f(x)=4[x]-3$, where $[x]$ is greatest integer function of $x$, then find.
$f\left(-\frac{5}{2}\right)$

✓

Answer

$ f\left(-\frac{5}{2}\right)=\mathrm{f}(-2.5)$
$=4[-2.5]-3$
$=4(-3)-3 \ldots \ldots .[\because-3 \leq-2.5 \leq-2,[-2.5]=-3]$
$=-15$

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