document.write( "Question 1120857: Solution checking
\n" ); document.write( "For f(x) = 3x-2 and g(x) = x2+1, find the composite function defined by f o g(x) and g o f(x).\r
\n" ); document.write( "\n" ); document.write( "(f∘g)(x)=3x^2+1\r
\n" ); document.write( "\n" ); document.write( "(g∘f)(x)=(3x−2)^2+1\r
\n" ); document.write( "\n" ); document.write( "my other solution to (g∘f)(x)
\n" ); document.write( "g(f(x)) = x² + 1
\n" ); document.write( "g(3x-2) = x² + 1
\n" ); document.write( "g(3x-2) = (3x-2)² + 1
\n" ); document.write( "g(3x-2) = 9x² - 12x + 4 + 1
\n" ); document.write( "g(3x-2) = 9x² - 12x + 5
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #736546 by rothauserc(4718) $\"\"$ $\"About$

You can put this solution on YOUR website!
f(x) = 3x-2 and g(x) = x^2+1, find the composite function defined by f o g(x) and g o f(x)
\n" ); document.write( ":
\n" ); document.write( "f o g(x) = 3(x^2 +1) -2 = 3x^2 +1
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\n" ); document.write( "g o f(x) = (3x-2)^2 +1 = 9x^2 -12x +4 +1 = 9x^2 -12x +5
\n" ); document.write( ":
\n" ); document.write( "note fully evaluate the composite function
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