List questions from inverse-function

Published on 13 Oct 2012 - 22:06

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Is the inverse of a function the reflection of the function about the line $y=x$?

Published on 25 Oct 2012 - 21:16

320

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How to invert this function?

Published on 31 Mar 2026 - 15:59

677

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Is there a method to find the inverse of an arbitrary function?

Published on 20 Nov 2012 - 18:56

2k

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Inverse function of $y=\frac{\ln(x+1)}{\ln x}$

Published on 22 Mar 2026 - 4:26

494

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Calculating an inverse of a split (piecewise defined) function

Published on 17 Feb 2013 - 2:52

1k

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Finding the domain of an inverse function

Published on 24 Feb 2013 - 16:01

37

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Evaluate $\tan^{-1} (\tan (x + \frac{\pi}{3}))$, where $x\in (0,\frac{\pi}{2})$

Published on 31 Jul 2020 - 14:51

75

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inverse of $y(x) = 1 - \exp( - (\alpha x + \beta x^2 )) $

Published on 31 Jul 2020 - 22:14

44

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Find exact value of $f^{-1}(f(a))$

Published on 31 Jul 2020 - 22:44

221

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Does there exist a nonbijective function with both a left and right inverse?

Published on 03 Aug 2020 - 20:35

90

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If $\phi$ is a homeomorphism and both $\phi$ and $\phi^{-1}$ extend to differentiable functions, is ${\rm D}\phi(x)$ invertible?

Published on 26 Mar 2026 - 17:32

168

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Proving the continuity of the inverse of a continuous, stricly monotonic function

Published on 06 Aug 2020 - 16:27

162

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A Problem on Inverse Trigonometric Functions and Differential Equation.

Published on 08 Aug 2020 - 2:59

141

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Prove a recursive relation

Published on 10 Aug 2020 - 13:51

List Question

Inversion of the function $ \sqrt x \ln x $

Is the inverse of a function the reflection of the function about the line $y=x$?

How to invert this function?

Is there a method to find the inverse of an arbitrary function?

Inverse function of $y=\frac{\ln(x+1)}{\ln x}$

Calculating an inverse of a split (piecewise defined) function

Finding the domain of an inverse function

Evaluate $\tan^{-1} (\tan (x + \frac{\pi}{3}))$, where $x\in (0,\frac{\pi}{2})$

inverse of $y(x) = 1 - \exp( - (\alpha x + \beta x^2 )) $

Find exact value of $f^{-1}(f(a))$

Does there exist a nonbijective function with both a left and right inverse?

If $\phi$ is a homeomorphism and both $\phi$ and $\phi^{-1}$ extend to differentiable functions, is ${\rm D}\phi(x)$ invertible?

Proving the continuity of the inverse of a continuous, stricly monotonic function

A Problem on Inverse Trigonometric Functions and Differential Equation.

Prove a recursive relation

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