Question

If f x = x²-1/x²+1,for every real number x, then the minimum value of 

(1) does not exist because f is unbounded 

(2) is not attained even though f is bounded 

(3) is equal to 1 

(4) is equal to − 1

Answer 1

Correct Option (4) is equal to − 1

Explanation:

min (x 2 + 1) which corresponds to x = 0 

∴ minimum f(x) = − 1