document.write( "Question 205044: Given F(x) shown below, complete the equation for the inverse of F(x). If necessary, use the slash mark ( / ) for the division symbol.\r
\n" ); document.write( "\n" ); document.write( "f(x)=2x/7+4\r
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\n" ); document.write( "\n" ); document.write( "F-1(y) = _____\r
\n" ); document.write( "\n" ); document.write( "Answer:
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Algebra.Com's Answer #154770 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given:
\n" ); document.write( " $\"f%28x%29+=+2x%2F7+%2B4\"$ find the inverse. First, replace $\"f%28x%29\"$ with $\"y\"$
\n" ); document.write( " $\"y+=+2x%2F7+%2B4\"$ Now exchange the variables x and y.
\n" ); document.write( " $\"x+=+2y%2F7%2B4\"$ then solve this equation for y. Subtract 4 from both sides.
\n" ); document.write( " $\"x-4+=+2y%2F7\"$ Multiply both sides by 7.
\n" ); document.write( " $\"7x-28+=+2y\"$ and divide both sides by 2.
\n" ); document.write( " $\"y+=+%287x-28%29%2F2\"$ Finally, replace $\"y\"$ with $\"f%5E-1%28x%29\"$
\n" ); document.write( " $\"highlight%28f%5E-1%28x%29+=+%287x-28%29%2F2%29\"$
\n" ); document.write( "By the way, notice that it is $\"f%5E-1%28x%29\"$ and not $\"f%5E-1%28y%29\"$ \n" ); document.write( "

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