List questions from inverse-function

Published on 28 Mar 2026 - 3:46

145

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Inverse of $f(x)=x^2\log(1+x^2)$

Published on 04 Jan 2020 - 20:50

91

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Showing that $\theta$ is bijective and finding $\theta^{-1}$

Published on 04 Jan 2020 - 21:00

429

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Show that $(g \circ f)^{-1}(C) = g^{-1}(f^{-1}(C)).$

Published on 06 Jan 2020 - 11:14

49

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Is this proof about Inverse function Theorem okay?

Published on 25 Mar 2026 - 17:34

102

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Show that $f:[0,\infty)\to [0,\infty)$ with $f(x)=x^2\log(1+x^2)$ is bijective.

Published on 07 Jan 2020 - 16:51

70

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If $Q$ is nilpotent and commutes with $A$, then $(A + Q)^{-1}$ is invertible if and only if $A$ is invertible

Published on 08 Jan 2020 - 18:27

30

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$f^{-1}:W(f) \to [1,\infty)$ of $f:[1, \infty) \to \mathbb{R}, x \mapsto f(x) = x^2-2x+3$

Published on 09 Jan 2020 - 10:30

266

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Inversion of weighted sum of exponentials

Published on 09 Jan 2020 - 11:07

205

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Inverting a function: proof of $W(x) = \ln\frac{x}{\ln\frac{x}{\ddots}}$

Published on 25 Mar 2026 - 17:40

294

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Range of sum of two functions.

Published on 11 Jan 2020 - 2:07

307

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Proving the invertibility of a nonlinear function

Published on 25 Mar 2026 - 19:01

1.3k

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What's the inverse of $x^5 +3x^3 + 2x + 1$?

Published on 12 Jan 2020 - 7:19

149

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Looking for the inverse of the hyperfactorial function

Published on 13 Jan 2020 - 4:21

78

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solution of fuctional equation: $f(g(x))=x^2$.

Published on 14 Jan 2020 - 13:00

List Question

Solving Lambert style equation

Inverse of $f(x)=x^2\log(1+x^2)$

Showing that $\theta$ is bijective and finding $\theta^{-1}$

Show that $(g \circ f)^{-1}(C) = g^{-1}(f^{-1}(C)).$

Is this proof about Inverse function Theorem okay?

Show that $f:[0,\infty)\to [0,\infty)$ with $f(x)=x^2\log(1+x^2)$ is bijective.

If $Q$ is nilpotent and commutes with $A$, then $(A + Q)^{-1}$ is invertible if and only if $A$ is invertible

$f^{-1}:W(f) \to [1,\infty)$ of $f:[1, \infty) \to \mathbb{R}, x \mapsto f(x) = x^2-2x+3$

Inversion of weighted sum of exponentials

Inverting a function: proof of $W(x) = \ln\frac{x}{\ln\frac{x}{\ddots}}$

Range of sum of two functions.

Proving the invertibility of a nonlinear function

What's the inverse of $x^5 +3x^3 + 2x + 1$?

Looking for the inverse of the hyperfactorial function

solution of fuctional equation: $f(g(x))=x^2$.

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