# Questions tagged [inverse-function]

For questions regarding an inverse function as the dominant topic of the post, or for questions requesting guidance on finding the inverse function for a particular function.

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### Domain and range of an inverse trigonometric composite function.

arcsin([x]/{x}) - what will the domain and range of such a function be?Here, [x] implies the greatest integer function while {x} is the fractional part function. I tried using the fact that for arcsin(...
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### What's the inverse function of the following function f(x)=2^x+3^x [closed]

I am a student and the question was raised in a channel that what is the inverse of this function and I thought a lot but I could not solve it and that is why I decided to express my question here so ...
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### How to calculate inverse of modulo (remainder) operator?

I am running a C++ program with two arraysvec and nums which are related as: ...
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### Finding the radius from a chord and arc, inverse sinc [duplicate]

This is based off some random YouTube comment. The person was asking about finding the radius of a circle when all you have is the length of an arc and the length of its chord. A respondent said it's ...
1 vote
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### Is there a name for a morphism which makes a left inverse act like a two-sided inverse?

$\newcommand{\Id}{\operatorname{Id}}$Consider a morphism $f : A \rightarrow B$ which has a left inverse $g$, i.e. $g \circ f = \Id_A$. (That is, $f$ is a split monomorphism.) Of course, we don't ...
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1 vote
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### Can we compute $m_{yx}$ once we estimated $m_{xy}$ from $y=m_{xy}*x + 0$?

Simply, Lets us say that we know $m_{xy}$ from the linear equation $y= m_{xy}*x + c$; And now we want to calculate $m_{yx}$ because we want to estimate the effect of x on y i.e $x = m_{yx} * y + c$ ...
68 views

### Geogebra struggles integrating the derivative of $\sec^{-1}(x)$

I'm currently using Geogebra 6.0.791.0 and I ran into a strange result while trying to integrate the derivative of the $\sec^{-1}(x) = \cos^{-1}(\frac{1}{x})$ function. The first differentiation is ...
### What is the derivative of $\sin^{-1}(\frac{x+\sqrt{1-x^2}}{\sqrt{2}})$ [closed]
If we substitute $x=\sin \theta$ then we get the derivative to be $\frac{1}{\sqrt{1-x^2}}$ shown in the picture below But instead of assuming $x=\sin \theta$ if we assume $x=\cos \theta$ we get the ...