document.write( "Question 44729: if F(x)=-3x+2, what are the values of m and b so that F(mx=b)=2x-3? \n" ); document.write( "
Algebra.Com's Answer #29583 by adamchapman(301)![]() ![]() ![]() You can put this solution on YOUR website! F(x)=-3x+2 \n" ); document.write( "Thuis means that to find F(x), you must multiply what is in the brackets on the left hand side (x) by -3, and then add 2. \n" ); document.write( "F(mx+b)=-3(mx+b)+2 \n" ); document.write( "We know that this is equal to 2x-3, so: \n" ); document.write( "-3(mx+b)=2x-3 \n" ); document.write( "-3mx-3b=2x-3 \n" ); document.write( "Equating coefficients of x: \n" ); document.write( "-3m=2 \n" ); document.write( "m=-2/3 \n" ); document.write( "Equating constant terms: \n" ); document.write( "-3b=-3 \n" ); document.write( "b=1 \n" ); document.write( "so the solution is m=-2/3 and b=1 \n" ); document.write( "F(-2x/3+1)=2x-3\r \n" ); document.write( "\n" ); document.write( "I hope this helps. \n" ); document.write( "P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk \n" ); document.write( "Adam\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |