document.write( "Question 930521: how do i find the inverse of f(x)=x^3+8 \n" ); document.write( "

Algebra.Com's Answer #565066 by MathLover1(20850) $\"\"$ $\"About$

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find the inverse of $\"f%28x%29=x%5E3%2B8\"$ :\r
\n" ); document.write( "\n" ); document.write( "first, recall that $\"f%28x%29=y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=x%5E3%2B8\"$ ...now, swap $\"x\"$ and $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=y%5E3%2B8\"$ ...solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x-8=y%5E3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"root%283%2C%28x-8%29%29=y\"$ \r
\n" ); document.write( "\n" ); document.write( "so, inverse is\r
\n" ); document.write( "\n" ); document.write( " $\"f%5E-1%28x%29=root%283%2C%28x-8%29%29\"$ or $\"f%5E-1%28x%29=%28x-8%29%5E%281%2F3%29\"$ \r
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