I do not know how to solve question 1, part 2. I cannot find Delta in terms of epsilon, a, and g(a) solely. Can someone explain how to find delta and what the answer is? I couldn't get started because I do not fully understand this concept. Thanks! 
2026-03-25 09:47:10.1774432030
Question regarding Real Analysis and epsilon-delta
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Note that if \begin{equation} \left\lvert\frac{1}{1+x^{2}}-\frac{1}{1+a^{2}}\right\rvert\leq \epsilon^{1/2}, \end{equation} then clearly $|g\circ f(x)-g\circ f(a)|<\epsilon$ is satisfied. Can you take it from here?