document.write( "Question 66410This question is from textbook Discovering Advanced Algebra: An Investigative Approach
\n" ); document.write( ": How do you find the inverse of an equation?
\n" ); document.write( "y=6-2x \n" ); document.write( "

Algebra.Com's Answer #47111 by Earlsdon(6294) $\"\"$ $\"About$

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Find the inverse $\"y%5E-1\"$ of:
\n" ); document.write( " $\"y+=+6-2x\"$ Just swap the x and the y, then solve for y.
\n" ); document.write( " $\"x+=+6-2y\"$ Solve for y. Subtract 6 from both sides.
\n" ); document.write( " $\"x-6+=+-2y\"$ Divide both sides by -2.
\n" ); document.write( " $\"-x%2F2+%2B+3+=+y\"$ So, the inverse is:
\n" ); document.write( " $\"y%5E-1+=+3-x%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( "Check: Recall that: $\"f%28f%5E-1%29%28x%29+=+x\"$
\n" ); document.write( " $\"y%28y%5E-1%29+=+6-2%283-x%2F2%29\"$ Simplify.
\n" ); document.write( " $\"y%28y%5E-1%29+=+6-6%2Bx\"$
\n" ); document.write( " $\"y%28y%5E-1%29+=+x\"$ \n" ); document.write( "

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