List questions from inverse-function

Published on 10 Jul 2021 - 22:23

479

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What is inverse of $f(x)$ when $f(x)= \int_{2}^{x} \ln(t) \,dt $

Published on 12 Jul 2021 - 19:59

312

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Find the number of solutions of the equation $\sin^{-1}[x^2+\frac13]+\cos^{-1}[x^2-\frac23]=x^2$, for $x\in[-1,1]$

Published on 13 Jul 2021 - 8:28

58

Views

Linear operator on $\ell^1$ is not surjective.

Published on 19 Jul 2021 - 1:03

54

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Looking to get the inverse of this function

Published on 22 Jul 2021 - 13:37

180

Views

Approximating the inverse of a stochastic function

Published on 25 Mar 2026 - 7:41

28

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Why could we only divide the displacement x into arbitrarily many subintervals instead of dividing the force F when calculating the work done?

Published on 28 Jul 2021 - 8:49

526

Views

Conditions on $f$ and $g$ if $(g\circ f)^{-1}$ exists

Published on 01 Apr 2026 - 0:58

129

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Showing that $f(x)=2xe^{x}+1$ is injective for $x \geq -1$

Published on 31 Jul 2021 - 5:28

62

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How to solve for the inverse of $f$ for a floor function? I really need to learn the method.

Published on 26 Mar 2026 - 12:36

30

Views

Does this formula for the derivative of a differentiable inverse have a name?

Published on 28 Mar 2026 - 17:12

299

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Are there applications of $\mathrm{\int \frac {dx}{tan^{-1}(x)}}$?

Published on 27 Mar 2026 - 4:38

1.3k

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How to find $\sin^{-1}(\sin{100})$

Published on 07 Aug 2021 - 5:03

538

Views

Finding number of solutions of $f(x)=f^{-1}(x)$ where $f(x)=x^3+x-1$

Published on 07 Aug 2021 - 19:04

51

Views

Understanding the derivative of inverse function.

Published on 08 Aug 2021 - 5:55

List Question

Inverse function of $2^{x(x-1)}$?

What is inverse of $f(x)$ when $f(x)= \int_{2}^{x} \ln(t) \,dt $

Find the number of solutions of the equation $\sin^{-1}[x^2+\frac13]+\cos^{-1}[x^2-\frac23]=x^2$, for $x\in[-1,1]$

Linear operator on $\ell^1$ is not surjective.

Looking to get the inverse of this function

Approximating the inverse of a stochastic function

Why could we only divide the displacement x into arbitrarily many subintervals instead of dividing the force F when calculating the work done?

Conditions on $f$ and $g$ if $(g\circ f)^{-1}$ exists

Showing that $f(x)=2xe^{x}+1$ is injective for $x \geq -1$

How to solve for the inverse of $f$ for a floor function? I really need to learn the method.

Does this formula for the derivative of a differentiable inverse have a name?

Are there applications of $\mathrm{\int \frac {dx}{tan^{-1}(x)}}$?

How to find $\sin^{-1}(\sin{100})$

Finding number of solutions of $f(x)=f^{-1}(x)$ where $f(x)=x^3+x-1$

Understanding the derivative of inverse function.

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