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The inverse of a linear function is always a linear function. There are a few ways to approach this.

To think about it, you can imagine flipping the x and y axes. Essentially this equates to turning the graph of the linear function on its side to reveal the new inverse function which is still a straight line.


More rigorously, the linear function y = ax + b has the inverse equation x = (1/a)y - (b/a). This is a linear function in y.

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Q: Is the inverse of a linear function not a function?
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