The statement "The inverse of f(x) = x² is also a function" is incorrect. The function f(x) = x² does not have an inverse that is also a function because it fails the horizontal line test for inverses.
Here's a brief explanation:
1. For a function to have an inverse that is also a function, it must pass the horizontal line test. This means that every horizontal line intersects the function at most once.
2. The graph of f(x) = x² is a parabola that fails the horizontal line test since any horizontal line will intersect the graph at two points, meaning it does not have a unique inverse as a function.
Therefore, the correct answer is "OF." The inverse of f(x) = x² is not a function due to the nature of the original function's graph.
