48196d…: “Far from the autumn circle”

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Let $f$ be the function defined by $f(x) = x^2+1$ , and $g$ be the function defined by the rule $g(z) = z^2+1$ .

Since $f$ and $g$ have differing domain, they are different functions $f$ and $g$ are the same function $f$ and $g$ are different functions because they disagree for some inputs in their common domain $f$ and $g$ are different functions because they are of different variables