Question

class 12 relation and functions question

Answer 1

$f(x) = greatest \: integer \: function \\ g(x) = |x | \\ 1) \: gof( \frac{ - 9}{3} ) \\ f( \frac{ - 9}{3} ) = greatest \: integer \: function \: of \: - 3 = - 3 \\ g( - 3) = | - 3| = 3 \\ gof( \frac{ - 9}{3} ) = 3 \: \: \: ans$
$2)fog( \frac{ - 5}{3} ) \\ g( \frac{ - 5}{3} ) = | \frac{ - 5}{3} | = \frac{5}{3} \\ f( \frac{5}{3} ) =f( 1.66) = 1 \\ fog( \frac{ - 5}{3} ) = 1 \: \: \: \: ans$