This math topic focuses on finding the inverse of given functions. It covers various types of functions, including linear, quadratic, and rational expressions. The problems are structured to help understand the relationship between functions and their inverses by calculating the inverse for specific mathematical expressions. Each question provides two potential answers in a multiple-choice format, challenging the understanding and application of the concept of function inversion. This is a fundamental aspect of understanding functions, composition, and inversion in intro-level math courses.

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Function Inverse - Function to Inverse

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Find the inverse function of y(x)

given:y(x)=42xy1(x)=?\begin{align*}\text{given:}&\\y(x) &= -4\sqrt{-2x}\\y^{-1}(x) &= ?\end{align*}

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