Let $f(x) = 3x^2-2$ and $g(f(x)) = x^2 + x +1$.  Find the sum of all possible values of $g(25)$.
Question:
Let $f(x) = 3x^2-2$ and $g(f(x)) = x^2 + x +1$.  Find the sum of all possible values of $g(25)$.
Answer:
Let's think step by step.

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Let $f(x) = 3x^2-2$ and $g(f(x)) = x^2 + x +1$.  Find the sum of all possible values of $g(25)$.
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