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)![]() ![]() You can put this solution on YOUR website! f(x) = 2x-5 divided by x+4, find f-1(x). \n" ); document.write( ": \n" ); document.write( "f(x) = y \n" ); document.write( ": \n" ); document.write( "y = \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 = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ": \n" ); document.write( "To find the inverse, swap x and y: \n" ); document.write( "y = \n" ); document.write( "f-1(x) = \n" ); document.write( " \n" ); document.write( " |