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Question Number 3340 by Filup last updated on 11/Dec/15

if y=f(x) how do you write the function in the reverse? Is it x=g(y)? Or is there a better way?

$$\mathrm{if}\:\:{y}={f}\left({x}\right) \\ $$$$\mathrm{how}\:\mathrm{do}\:\mathrm{you}\:\mathrm{write}\:\mathrm{the}\:\mathrm{function} \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{reverse}? \\ $$$$ \\ $$$$\mathrm{Is}\:\mathrm{it}\:{x}={g}\left({y}\right)? \\ $$$$\mathrm{Or}\:\mathrm{is}\:\mathrm{there}\:\mathrm{a}\:\mathrm{better}\:\mathrm{way}? \\ $$

Answered by prakash jain last updated on 11/Dec/15

I have generally seen f^(−1) used for inverse of f. x=f^(−1) (y) f^(−1) is f inverse.

$$\mathrm{I}\:\mathrm{have}\:\mathrm{generally}\:\mathrm{seen}\:{f}^{−\mathrm{1}} \:\mathrm{used}\:\mathrm{for}\:\mathrm{inverse} \\ $$$$\mathrm{of}\:{f}. \\ $$$${x}={f}^{−\mathrm{1}} \left({y}\right) \\ $$$${f}^{−\mathrm{1}} \:{is}\:{f}\:{inverse}. \\ $$

Commented by Filup last updated on 11/Dec/15

I have never seen it. Thank you! I will look into it!

$$\mathrm{I}\:\mathrm{have}\:\mathrm{never}\:\mathrm{seen}\:\mathrm{it}.\:\mathrm{Thank}\:\mathrm{you}! \\ $$$$\mathrm{I}\:\mathrm{will}\:\mathrm{look}\:\mathrm{into}\:\mathrm{it}! \\ $$

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