document.write( "Question 140634: Please help me solve the equation, f(x) = 2x-5 divided by x+4, find f-1(x). This is a problem which the teacher created from this section of the book. Thank you for your help and assistance. Gary \n" ); document.write( "
Algebra.Com's Answer #102512 by ankor@dixie-net.com(22740)\"\" \"About 
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f(x) = 2x-5 divided by x+4, find f-1(x).
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\n" ); document.write( "f(x) = y
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\n" ); document.write( "y = \"%282x-5%29%2F%28x%2B4%29\"
\n" ); document.write( "solve for x:
\n" ); document.write( "Multiply both sides by (x+4)
\n" ); document.write( "2x - 5 = y(x+4)
\n" ); document.write( "2x - 5 = xy + 4y
\n" ); document.write( "2x = xy + 4y + 5
\n" ); document.write( "2x - xy = 4y + 5
\n" ); document.write( "x(2-y) = 4y + 5
\n" ); document.write( "x = \"%284y%2B5%29%2F%282-y%29\"\r
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\n" ); document.write( "To find the inverse, swap x and y:
\n" ); document.write( "y = \"%284x%2B5%29%2F%282-x%29\"
\n" ); document.write( "f-1(x) = \"%284x%2B5%29%2F%282-x%29\"
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