I need to prove that the inverse function of a linear function is also linear? I suppose that a linear function is defined like this: $$f(x)=ax+b$$ but how can I prove that its inverse is linear?
2026-04-11 20:13:09.1775938389
Prove that inverse of a linear function is linear
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$$y=ax+b\implies x=\frac{y-b}a=\frac1ay-\frac ba$$
In the comments it was already explained why it has to be $\;a\neq 0\;$ ...