Pena Stuart
11/09/2023 · Primary School
13) Inverse and functions which of the following is true about \( f(x)=x^{2} \) and its inverse?
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The function \( f(x) = x^2 \) is not one-to-one over all real numbers but can be made one-to-one by restricting its domain. Its inverse is \( f^{-1}(x) = \sqrt{x} \) for \( x \geq 0 \), and the composition of the function and its inverse returns the original input.
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