document.write( "Question 390149: Inverse Functions:\r
\n" ); document.write( "\n" ); document.write( "For y=x^3+1\r
\n" ); document.write( "\n" ); document.write( "a) Find f^-1\r
\n" ); document.write( "\n" ); document.write( "b) Verify your answer by showing their compositions \n" ); document.write( "

Algebra.Com's Answer #276607 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
For:
\n" ); document.write( " $\"y+=+x%5E3%2B1+\"$ find $\"f%5E%28-1%29%28x%29\"$ Exchange the x and y.
\n" ); document.write( " $\"x+=+y%5E3%2B1\"$ Solve for y.
\n" ); document.write( " $\"y%5E3+=+x-1\"$ Take the cube root of both sides.
\n" ); document.write( " $\"y+=+%28x-1%29%5E%281%2F3%29\"$ Replace the y with $\"f%5E%28-1%29%28x%29\"$
\n" ); document.write( " $\"f%5E%28-1%29%28x%29+=+%28x-1%29%5E%281%2F3%29\"$
\n" ); document.write( "Check to see that:
\n" ); document.write( " $\"f%28f%5E%28-1%29%28x%29%29+=+x\"$
\n" ); document.write( " $\"f%28f%5E%28-1%29%28x%29%29+=+f%28%28x-1%29%5E%28-1%2F3%29%29\"$ = $\"%28%28x-1%29%5E%281%2F3%29%29%5E3%2B1+=+%28x-1%29%2B1\"$ = $\"x\"$ \n" ); document.write( "

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