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draw them both out on a graph and then draw the line y=x through the origin. If one function is a reflection of the other, it is the inverse

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16y ago

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What does the horizontal line tell you about a function?

If the function is a one-to-one function, therefore it has an inverse.


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Yes, an inverse can be a function, but this depends on the original function being one-to-one (bijective). A one-to-one function has a unique output for every input, allowing for the existence of an inverse that also meets the criteria of a function. If the original function is not one-to-one, its inverse will not be a function, as it would map a single output to multiple inputs.


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How can you graph the inverse of a function without finding the ordered pairs first?

To graph the inverse of a function without finding ordered pairs, you can reflect the original graph across the line ( y = x ). This is because the coordinates of the inverse function are the swapped coordinates of the original function. Thus, for every point ( (a, b) ) on the original graph, the point ( (b, a) ) will be on the graph of its inverse. Ensure that the original function is one-to-one for the inverse to be valid.


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Operations that undo one another?

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