document.write( "Question 547348: help\r
\n" ); document.write( "\n" ); document.write( "f(x) = 3x - 5
\n" ); document.write( "g(x) = 6x2 + 2x\r
\n" ); document.write( "\n" ); document.write( "Find: g(f(x))\r
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\n" ); document.write( "\n" ); document.write( "f(x) = 2x + 3
\n" ); document.write( "g(x) = 5x2 + 6x - 5\r
\n" ); document.write( "\n" ); document.write( "Find: f(g(x))\r
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\n" ); document.write( "\n" ); document.write( "i can not figure these 2 out
\n" ); document.write( "thanks for your help
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Algebra.Com's Answer #359101 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
f(x) = 3x - 5
\n" ); document.write( "g(x) = 6x^2 + 2x
\n" ); document.write( "Find: g(f(x))
\n" ); document.write( "method: for each x in g, substitute (3x-5)
\n" ); document.write( "g[f(x)]=6(3x-5)^2+2(3x-5)
\n" ); document.write( "=6(9x^2-30x+25)+6x-10
\n" ); document.write( "=54x^2-180x+150+6x-10
\n" ); document.write( "g[f(x)]=54x^2-174x+140\r
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\n" ); document.write( "\n" ); document.write( "f(x) = 2x + 3
\n" ); document.write( "g(x) = 5x^2 + 6x - 5
\n" ); document.write( "Find: f(g(x))
\n" ); document.write( "for each x in f, substitute (5x^2+6x-5)
\n" ); document.write( "f[g(x)]=2(5x^2+6x-5)+3
\n" ); document.write( "=10x^2+12x-10+3
\n" ); document.write( "f[g(x)]=10x^2+12x-7
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