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Functions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsFunctions2 Marks
MCQ
If $f$ be the greatest integer function and $g$ be the modulus function, then (gof) $\left(-\frac{5}{3}\right)-( fog )\left(-\frac{5}{3}\right)$=
  • ✓
    1
  • B
    -1
  • C
    2
  • D
    4
✓

Answer

Correct option: A.
1
(A)
Given, (gof) $\left(-\frac{5}{3}\right)-( fog )\left(-\frac{5}{3}\right)$
$=g\left\{f\left(\frac{-5}{3}\right)\right\}-f\left\{g\left(\frac{-5}{3}\right)\right\}$
$=g(-2)-f\left(\frac{5}{3}\right)=2-1=1$

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