The reflection about the line $x + y = 0$ of the inverse function $f^{-1}(x)$ of a function $f(x)$ is:
Step-by-Step Solution
Key Concept: Reflection about the line x + y = 0 (or y = -x) swaps coordinates and negates them: point (a, b) maps to (-b, -a). For the inverse function f⁻¹(x), if (x, y) lies on its graph, then (-y, -x) lies on the reflected graph, yielding the transformation y = -f(-x).
Check by drawing a rough graph of the function to verify its properties visually.
Correct Answer: 2