Determine the relative condition number of the mathematical

Determine the relative condition number of the mathematical problem f: R2 R, f (x) x 2 Are there any vectors x for which the problem f x) is ill-conditioned?

Solution

All the steps are correct except 3rd step of k calculation. It is 1/|(X1^2+X2^2)|. The given solution is ill conditioned when X1^2 is approximately -X2^2