Let f ( x ) = [ x ] and g ( x ) = x + [ x ] . Then the number of solutions of the equality ([.] is G.I.F) 4 ( x − f ( x )) = g ( x ) is

Question

TestHub · Accepted Answer

The given equation is ​ 4 ( x − [ x ]) = x + [ x ] = 2 [ x ] + { x } ​ 4 { x } = 2 [ x ] + { x } ​ ∴ 0 ≤ 3 2 [ x ] ​ < 1 ⇒ x = 0 , 5/3 ​

Mathematics - Functions Question with Solution | TestHub