Understanding Inverse Functions: Reflections over the Line y=x

Inverses are reflected over…

y = x

Inverses are reflected over the line y=x. This means that if we have a function f(x) and it has an inverse function f^-1(x), then the graph of f^-1(x) can be obtained by reflecting the graph of f(x) over the line y=x. This is because the graph of f(x) represents the relationship between the input (x) and the output (y) of the function, whereas the graph of f^-1(x) represents the inverse relationship between the output (x) and the input (y) of the function. Therefore, when we reflect the graph of f(x) over the line y=x, we are essentially swapping the roles of the input and output variables, which is what the inverse function does.

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