If ⁻¹(1) + ⁻¹(3) + ⁻¹(5) + ⁻¹ ( 1 4 ) = + ⁻¹ ( 2 ) , then the value of is...

Step-by-step solution

Grouping the terms of the left hand side: ⁻¹(1) + ⁻¹ ( 1 4 ) = ⁻¹ ( 1 + 1 4 1 - 1 4 ) = ⁻¹ ( 5 3 ) Adding ⁻¹(3) to this result: ⁻¹ ( 5 3 ) + ⁻¹(3) = + ⁻¹ ( 5 3 + 3 1 - 5 3 3 ) = + ⁻¹ ( 14 -12 ) = - ⁻¹ ( 7 6 ) Adding ⁻¹(5) to this result: - ⁻¹ ( 7 6 ) + ⁻¹(5) = + ⁻¹ ( 5 - 7 6 1 + 5 7 6 ) = + ⁻¹ ( 23 6 41 6 ) = + ⁻¹ ( 23 41 ) Equating this to the right hand side: + ⁻¹ ( 23 41 ) = + ⁻¹ ( 2 ) 2 = 23 41 = 46 41 Answer: 46 41