\#5 Find the critical numbers of the function \[ f(z)=\sqrt{z^{2}-16} \]
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The function \( f(z) = \sqrt{z^2 - 16} \) is defined when the expression inside the square root is non-negative. Therefore, solve the inequality: \[ z^2 - 16 \geq 0 \] \[ z^2 \geq 16 \] \[ z \geq 4 \quad \text{or} \quad z \leq -4 \] Thus, the domain of \( f(z) \) Show more…
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