The value of ⁻¹( 10) + ⁻¹( 10) + ⁻¹( 10) is equal to

Step-by-step solution

We know that 3.14 , so 3 9.42 and 4 12.56 . For ⁻¹( 10) : The principal value branch of ⁻¹x is [- 2 , 2 ] . We can write 10 = (3 - 10) . Since 3 - 10 9.42 - 10 = -0.58 , which lies in [- 2 , 2 ] , we have: ⁻¹( 10) = 3 - 10 For ⁻¹( 10) : The principal value branch of ⁻¹x is [0, ] . We can write 10 = (4 - 10) . Since 4 - 10 12.56 - 10 = 2.56 , which lies in [0, ] , we have: ⁻¹( 10) = 4 - 10 For ⁻¹( 10) : The principal value branch of ⁻¹x is (- 2 , 2 ) . We can write 10 = (10 - 3 ) . Since 10 - 3 10 - 9.42 = 0.58 , wh