Question: Consider the expression f(x) = 1 x 2 - 1 + x 2 . R earrange f(x) in a manner so that it will be

Consider the expression f(x)= 1x2 - 1+x2 . Rearrange f(x) in a manner so that it will be computed accurately for small x. Give a good approximate value for f(10^-7). At about what value of x will your algorithm produce f(x) = 0 due to underflow in single precision IEEE arithmetic?

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