Step 1: Find the inverse function of \( f(x) = x^2 - 2, x \leq 0 \):
Given \( f(x) = x^2 - 2 \), to find the inverse function, we switch the roles of x and y and solve for y:
\[ y = x^2 - 2 \]
\[ x = y^2 - 2 \]
\[ x + 2 = y^2 \]
\[ y = \pm \sqrt{x + 2} \]
Since the
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