The value of (2 ⁻¹ x+ ⁻¹ x ) at x= 1 5 , where 0 ⁻¹ x and - 2 ⁻¹ x 2 , is

Step-by-step solution

aligned & (2 ⁻¹ x+ ⁻¹ x ) & = [ ( ⁻¹ x+ ⁻¹ x )+ ⁻¹ x ] & = ( 2 + ⁻¹ x ) & =- ( ⁻¹ x ) & =- ( ⁻¹ (1-x^2 ) ) & =- 1-x^2 & =- 1- ( 1 5 )^2 & =- 24 25 =- 2 6 5 aligned