Let $f(x)=\frac{1}{x-3}$.  Find the largest $x$ that is not in the domain of $g(x)=f(f(x))$.
Question:
Let $f(x)=\frac{1}{x-3}$.  Find the largest $x$ that is not in the domain of $g(x)=f(f(x))$.
Answer:
Let's think step by step.

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\tfrac{10}{3}
Let $f(x)=\frac{1}{x-3}$.  Find the largest $x$ that is not in the domain of $g(x)=f(f(x))$.
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