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why is the graph of an inverse flipped over the line y=x instead of another line?

The inverse function of f(x) tells you what value of x you get for a given value of y. When you flip the graph about the 45 degree y=x line, it is the same as using the value of y on the original f(x) graph to get the value of x. In the flipped graph, what was formerly the y value is measured along the horizontal axis.

  • algebra -

    Why is the graph of an inverse of a function flipped over the line y = x instead of another line?

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