How to implement density function
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I would like to implemnet this "sampling algorithm for the following density function".

I tried with this code.Any help I will appricated.
% Example Monte Carlo Simulation in Matlab
%
% Generate n samples from a normal distribution
% r = ( randn(n,1) * sd ) + mu
% mu : mean
% sd : standard deviation
%
% Generate n samples from a uniform distribution
n = 100000; % The number of function evaluations
% --- Generate vectors of random inputs
% x1 ~ Normal distribution N(mean=100,sd=5)
% x2 ~ Uniform distribution U(a=5,b=15)
x = 5 + rand(0,1) * ( 15 - 5 );
% --- Run the simulation
% Note the use of element-wise multiplication
y = x.^2+(2/3x)+1/3;
% --- Create a histogram of the results (50 bins)
hist(y,50);
% --- Calculate summary statistics
y_mean = mean(y)
y_std = std(y)
y_median = median(y)
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