How is the inverse of $y=4x^3 - 3x^4$ found?How to calculate the inverse of a known optical distortion function?Finding an analytic form of a function that satisfies asymptotic conditionsInverse Laplace transform of complicated functionInverse Function of $f(x)=x^3 +x$Create the inverse of mappingIntegral with an inverse function limitHow to find the inverse of a 2-part functionHow to invert a list of percentages (list of shares) with respect to their underlying ratioHow do I determine the inverse function?How do I define the inverse of this function?
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How is the inverse of $y=4x^3 - 3x^4$ found?
How to calculate the inverse of a known optical distortion function?Finding an analytic form of a function that satisfies asymptotic conditionsInverse Laplace transform of complicated functionInverse Function of $f(x)=x^3 +x$Create the inverse of mappingIntegral with an inverse function limitHow to find the inverse of a 2-part functionHow to invert a list of percentages (list of shares) with respect to their underlying ratioHow do I determine the inverse function?How do I define the inverse of this function?
$begingroup$
I would like to calculate the inverse of $y = 4x^3 - 3x^4$ on the domain $x = [0,1]$.
What would be the best way to tackle this?
I'd preferably a general method, suitable for tackling other nontrivial functions.
If it is not possible to have an explicit/exact solution for this, how else would you get a drawing from a particular pdf via Matlab/Java/Python?
My idea was to use the inverse transformation method for the cdf and then use the uniform distribution with $x = F'(u)$
functions inverse inverse-function
edited Mar 21 at 20:47
Martin Hansen
780114
asked Mar 21 at 19:24
strateeg32strateeg32
1376
$endgroup$
add a comment |
$begingroup$
I would like to calculate the inverse of $y = 4x^3 - 3x^4$ on the domain $x = [0,1]$.
What would be the best way to tackle this?
I'd preferably a general method, suitable for tackling other nontrivial functions.
If it is not possible to have an explicit/exact solution for this, how else would you get a drawing from a particular pdf via Matlab/Java/Python?
My idea was to use the inverse transformation method for the cdf and then use the uniform distribution with $x = F'(u)$
functions inverse inverse-function
edited Mar 21 at 20:47
Martin Hansen
780114
asked Mar 21 at 19:24
strateeg32strateeg32
1376
$endgroup$
$begingroup$
wolframalpha.com/input/?i=Solve+4x%5E3-3x%5E4-y%3D0
$endgroup$
– Yves Daoust
Mar 21 at 19:27
add a comment |
$begingroup$
I would like to calculate the inverse of $y = 4x^3 - 3x^4$ on the domain $x = [0,1]$.
What would be the best way to tackle this?
I'd preferably a general method, suitable for tackling other nontrivial functions.
If it is not possible to have an explicit/exact solution for this, how else would you get a drawing from a particular pdf via Matlab/Java/Python?
My idea was to use the inverse transformation method for the cdf and then use the uniform distribution with $x = F'(u)$
functions inverse inverse-function
edited Mar 21 at 20:47
Martin Hansen
780114
asked Mar 21 at 19:24
strateeg32strateeg32
1376
$endgroup$
I would like to calculate the inverse of $y = 4x^3 - 3x^4$ on the domain $x = [0,1]$.
What would be the best way to tackle this?
I'd preferably a general method, suitable for tackling other nontrivial functions.
If it is not possible to have an explicit/exact solution for this, how else would you get a drawing from a particular pdf via Matlab/Java/Python?
My idea was to use the inverse transformation method for the cdf and then use the uniform distribution with $x = F'(u)$
functions inverse inverse-function
functions inverse inverse-function
edited Mar 21 at 20:47
Martin Hansen
780114
asked Mar 21 at 19:24
strateeg32strateeg32
1376
edited Mar 21 at 20:47
Martin Hansen
780114
asked Mar 21 at 19:24
strateeg32strateeg32
1376
edited Mar 21 at 20:47
Martin Hansen
780114
edited Mar 21 at 20:47
Martin Hansen
780114
edited Mar 21 at 20:47
Martin Hansen
780114
780114
asked Mar 21 at 19:24
strateeg32strateeg32
1376
asked Mar 21 at 19:24
strateeg32strateeg32
1376
asked Mar 21 at 19:24
strateeg32strateeg32
1376
1376
$begingroup$
wolframalpha.com/input/?i=Solve+4x%5E3-3x%5E4-y%3D0
$endgroup$
– Yves Daoust
Mar 21 at 19:27
add a comment |
$begingroup$
wolframalpha.com/input/?i=Solve+4x%5E3-3x%5E4-y%3D0
$endgroup$
– Yves Daoust
Mar 21 at 19:27
$begingroup$
wolframalpha.com/input/?i=Solve+4x%5E3-3x%5E4-y%3D0
$endgroup$
– Yves Daoust
Mar 21 at 19:27
$begingroup$
wolframalpha.com/input/?i=Solve+4x%5E3-3x%5E4-y%3D0
$endgroup$
– Yves Daoust
Mar 21 at 19:27
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
If your purpose is to plot inverse functions, it suffices to swap the variables and the axis and plot the direct functions. This is much easier.
answered Mar 21 at 19:28
Yves DaoustYves Daoust
132k676230
$endgroup$
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
If your purpose is to plot inverse functions, it suffices to swap the variables and the axis and plot the direct functions. This is much easier.
answered Mar 21 at 19:28
Yves DaoustYves Daoust
132k676230
$endgroup$
add a comment |
$begingroup$
If your purpose is to plot inverse functions, it suffices to swap the variables and the axis and plot the direct functions. This is much easier.
answered Mar 21 at 19:28
Yves DaoustYves Daoust
132k676230
$endgroup$
add a comment |
$begingroup$
If your purpose is to plot inverse functions, it suffices to swap the variables and the axis and plot the direct functions. This is much easier.
answered Mar 21 at 19:28
Yves DaoustYves Daoust
132k676230
$endgroup$
If your purpose is to plot inverse functions, it suffices to swap the variables and the axis and plot the direct functions. This is much easier.
answered Mar 21 at 19:28
Yves DaoustYves Daoust
132k676230
edited Mar 22 at 8:09
answered Mar 21 at 19:28
Yves DaoustYves Daoust
132k676230
answered Mar 21 at 19:28
Yves DaoustYves Daoust
132k676230
answered Mar 21 at 19:28
Yves DaoustYves Daoust
132k676230
132k676230
add a comment |
add a comment |
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– Yves Daoust
Mar 21 at 19:27