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)\"\" \"About 
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
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