If x n , x (2 n +1) 2 , n Z , then ⁻¹( x)+ ⁻¹( x) ⁻¹( x)+ ⁻¹( x) is

Step-by-step solution

x n , x (2 n +1) 2 , n Z Then, ⁻¹( x )+ ⁻¹( x ) ⁻¹( x )+ ⁻¹( x ) = ⁻¹ ( 2 - x ) + ⁻¹ ( 2 - x ) ⁻¹ ( 2 - x ) + ⁻¹ ( 2 - x ) = ( 2 - x )+ ( 2 - x ) ( 2 - x )+ ( 2 - x ) = ( -2 x -2 x )=1 But from the option we take x= 4 aligned &= ⁻¹ ( 4 )+ ⁻¹ ( 4 ) ⁻¹ ( 4 )+ ⁻¹ ( 4 ) &= ⁻¹ ( 1 2 )+ ⁻¹ ( 1 2 ) ⁻¹(1)+ ⁻¹(1) ⁻¹ x+ ⁻¹ x= 2 & .= / 2 / 2 =1 ⁻¹ x+ ⁻¹ x= 2 aligned