List questions from inverse-function

Published on 25 Aug 2022 - 12:21

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Questions of bijection for $h: \mathbb{N}/R \to \mathbb{F}_9$

Published on 26 Aug 2022 - 0:20

391

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Is $\sin^{-1}(\sin x) = x - \pi$ or $\pi - x$ for $x \in[\pi/2,3\pi/2]$?

Published on 26 Aug 2022 - 5:54

45

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Understanding Lemma 2.1, p-19 of Munkres’ Topology 2E.

Published on 27 Mar 2026 - 18:49

65

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If $f(x) =\frac{3 + 7^{2x}}4$, which of the following is the inverse?

Published on 29 Aug 2022 - 12:07

82

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inverse functions when solving trig equations.

Published on 30 Aug 2022 - 0:43

135

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If $f(x)=\sqrt x-\sqrt {4-x}+2$, what is the domain of $\sqrt{f(x)-f^{-1}(x)}$?

Published on 31 Aug 2022 - 17:20

201

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Evaluating a Bessel function integral $\int \frac{K_v(x)^{a-1}}{K_v(-x)^{a+1}}dx$ for an inverse function’s Fourier series coefficients

Published on 04 Apr 2026 - 13:43

125

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Inverse Trig Identity Proof under different conditions

Published on 01 Sep 2022 - 11:09

82

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Inverse of the function $f(\theta) =\exp(i\theta)$ is Borel measurable

Published on 29 Mar 2026 - 18:19

213

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Find the inverse function of $f(x):=\sqrt x-\sqrt {4-x}+2$

Published on 02 Sep 2022 - 17:19

220

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change of variable to the arclength for $y=\sec^2(x)$

Published on 29 Mar 2026 - 12:05

82

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Inverse and extension of the $n$th Airy Ai and Bi zero

Published on 24 Feb 2026 - 7:11

63

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Help with derivative of nested inverse functions

Published on 12 Sep 2022 - 22:55

36

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Solve for f(1) when f(x) is always positive and x>0, satisfying $f(x)f^{-1}(x)=1$

Published on 15 Sep 2022 - 3:36

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Reciprocal Graph - Inverse function

Questions of bijection for $h: \mathbb{N}/R \to \mathbb{F}_9$

Is $\sin^{-1}(\sin x) = x - \pi$ or $\pi - x$ for $x \in[\pi/2,3\pi/2]$?

Understanding Lemma 2.1, p-19 of Munkres’ Topology 2E.

If $f(x) =\frac{3 + 7^{2x}}4$, which of the following is the inverse?

inverse functions when solving trig equations.

If $f(x)=\sqrt x-\sqrt {4-x}+2$, what is the domain of $\sqrt{f(x)-f^{-1}(x)}$?

Evaluating a Bessel function integral $\int \frac{K_v(x)^{a-1}}{K_v(-x)^{a+1}}dx$ for an inverse function’s Fourier series coefficients

Inverse Trig Identity Proof under different conditions

Inverse of the function $f(\theta) =\exp(i\theta)$ is Borel measurable

Find the inverse function of $f(x):=\sqrt x-\sqrt {4-x}+2$

change of variable to the arclength for $y=\sec^2(x)$

Inverse and extension of the $n$th Airy Ai and Bi zero

Help with derivative of nested inverse functions

Solve for f(1) when f(x) is always positive and x>0, satisfying $f(x)f^{-1}(x)=1$

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