document.write( "Question 1021585: Given the function
\n" ); document.write( "f(x)=4x3, Explain how you can generate random numbers from this function using the inverse transform method \n" ); document.write( "
Algebra.Com's Answer #637371 by rothauserc(4718)\"\" \"About 
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f(x) = 4x^3
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\n" ); document.write( "rewrite with f(x) = y
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\n" ); document.write( "y = 4x^3
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\n" ); document.write( "compute inverse function by solving for x
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\n" ); document.write( "x^3 = y/4
\n" ); document.write( "x = (y/4)^(1/3)
\n" ); document.write( "interchange the y's and x's
\n" ); document.write( "y = (x/4)^(1/3)
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\n" ); document.write( "f^(-1)(x) = (x/4)^(1/3)
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\n" ); document.write( "Procedure to generate random numbers from f(x) using f^(-1)(x)
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\n" ); document.write( "1) Generate a random number u from the standard uniform distribution in the interval [0,1]
\n" ); document.write( "2) Compute x = f^(-1)(u)
\n" ); document.write( "3) Take x to be the random number drawn from the distribution described by f(x)
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