complex function inverse plot
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Hello, i have a plot a function
y=1/(ln(x)-0.1)
how can i plot X as a function of Y ,when y=[5:0.01:6]
Thanks.
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syms x
y=(5:0.01:6);
y=1./(log(x)-0.1);
g = finverse(y);
plot(y,g);
For this you need symbolic tool box, I would like you to read this link: https://de.mathworks.com/matlabcentral/answers/286749-find-inverse-of-a-function
fima v
2020-2-26
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John D'Errico
2020-2-26
Note that the natural log function is NOT written as ln in MATLAB, but just as log.
Next, in general, it may be impossible to plot your relationship, because there may be infinitely many disjoint regions over which your plot would need to be generated. For example, suppose you wanted to plot the regions where something as simple as sin(1./x) is between .5 and 1?
If a solution exists, where the function has a simple inverse, and if you have the symbolic toolbox, then finverse can help you.
syms X
Y = 1/(log(X) - 0.1)
fplot(finverse(Y),[5,6]);
xlabel 'Y'
ylabel 'X'
grid on

Or, if you want to use plot, you could do it like this:
syms X
Y = 1/(log(X) - 0.1);
y = 5:.01:6;
xfun = matlabFunction(finverse(Y));
plot(y,xfun(y),'-');
xlabel 'Y'
ylabel 'X'
grid on
If you don't have the symbolic toolbox, then you would need to use a loop, and then use fzero to compute the inverse.
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