document.write( "Question 377442: find the inverse of f(x)=1/2x^3-7 \n" ); document.write( "

Algebra.Com's Answer #268180 by robertb(5830) $\"\"$ $\"About$

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I will assume that $\"f%28x%29+=+x%5E3%2F2+-+7\"$ . This function is one-to-one, and so it will have an inverse function.
\n" ); document.write( "Then $\"y+=+x%5E3%2F2+-+7\"$ . Interchange the places of x and y:
\n" ); document.write( " $\"x+=+y%5E3%2F2+-+7\"$ . Then solve for y in terms of x.
\n" ); document.write( " $\"2%28x%2B7%29+=+y%5E3\"$ .
\n" ); document.write( " $\"2x%2B14+=+y%5E3\"$ ,
\n" ); document.write( " $\"y+=+root%283%2C+2x%2B14%29\"$ . This is the inverse function. \n" ); document.write( "

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