Given f (x 2) = 3x ^ 2-2x 1, find the analytic expression of F (x)

Given that f (X & # 178;) = 3x & # 178; - 2x + 1, is the analytic expression of F (x) + 1 or - 1?
Let X & # 178; = y, then x = √ y or x = - √ y
So f (y) = 3y-2 √ y + 1 or F (y) = 3y-2 √ y + 1
That is: F (x) = 3x-2 √ x + 1 (x ≥ 0)
Or F (x) = 3x + 2 √ x + 1 (x ≥ 0)

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