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1. relation and function — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths1. relation and function1 Mark
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
(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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