document.write( "Question 343867: find inverse of y=4(2x-3)^1/3 \n" ); document.write( "

Algebra.Com's Answer #245988 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Interchange $\"x\"$ and $\"y\"$ in the original equation.
\n" ); document.write( " $\"highlight%28x%29=4%282%2Ahighlight%28y%29-3%29%5E%281%2F3%29\"$
\n" ); document.write( "and solve for $\"y\"$ .
\n" ); document.write( "The new $\"y\"$ is the inverse.
\n" ); document.write( " $\"x%5E3=64%282y-3%29\"$
\n" ); document.write( " $\"x%5E3%2F64=2y-3\"$
\n" ); document.write( " $\"2y=x%5E3%2F64%2B3\"$
\n" ); document.write( " $\"highlight_green%28yinv=%281%2F128%29%2Ax%5E3%2B3%2F2%29\"$
\n" ); document.write( " \n" ); document.write( "

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