document.write( "Question 30439: f(x)=x+1 and g(x)=2x\r
\n" ); document.write( "\n" ); document.write( "find: f(g(x)) and g(f(x))
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Algebra.Com's Answer #17077 by sdmmadam@yahoo.com(530)\"\" \"About 
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f(x)=x+1----(1)and
\n" ); document.write( "g(x)=2x ----(2)
\n" ); document.write( "To find 1)f(g(x)) and 2)g(f(x))
\n" ); document.write( "1)f(g(x)) = f(2x)(using (2)
\n" ); document.write( "=f(t) where t = 2x ----(*)
\n" ); document.write( "=t+1 using (1)
\n" ); document.write( "=2x+1\r
\n" ); document.write( "\n" ); document.write( "2)g(f(x))
\n" ); document.write( "=g(x+1) using(1)
\n" ); document.write( "=g(u) where u = (x+1)----(**)
\n" ); document.write( "=2u using (2)
\n" ); document.write( "=2(x+1) using (**)\r
\n" ); document.write( "\n" ); document.write( "Answer: f(g(x))=2x+1
\n" ); document.write( "and g(f(x))=2(x+1)\r
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