I did this, not sure if it is the answer, can someone help me.please

1. Find a positive number for which the sum of it and its reciprocal is the smallest possi a. Let x be the number and let S be the sum of the number and its reciprocal. Write the objective function in terms of y. S ( x ) = X+ x b. The interval of interest of the objective function is [ - 1, 1] (Use interval notation.) c. The critical point(s) of S(x) within the interval of interest occur(s) at x = -1 d. The minimum value of S(x) is ( 12 ) which occurs when x = (1 2) (Justify that it is a minimum using Calculus.)