document.write( "Question 305939: Let f(x) = 7x +5 / 2x - 5. Find f^-1(x).
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Algebra.Com's Answer #219012 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use x,y notation.
\n" ); document.write( " $\"y=%287x%2B5%29%2F%282x-5%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Now interchange the x's and y's and solve for y.
\n" ); document.write( " $\"highlight%28+x%29=%287highlight%28+y%29%2B5%29%2F%282highlight%28+y%29-5%29\"$
\n" ); document.write( " $\"%282y-5%29x=7y%2B5\"$
\n" ); document.write( " $\"2yx-5x=7y%2B5\"$
\n" ); document.write( " $\"2yx-7y=5%2B5x\"$
\n" ); document.write( " $\"y%282x-7%29=5x%2B5\"$
\n" ); document.write( " $\"y=%285x%2B5%29%2F%282x-7%29%29\"$
\n" ); document.write( " $\"highlight_green%28f%5E%28-1%29%28x%29=%285x%2B5%29%2F%282x-7%29%29\"$
\n" ); document.write( "This new y is the inverse of the original function. \n" ); document.write( "

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