document.write( "Question 145020: PLEASEEE\r
\n" ); document.write( "\n" ); document.write( "1. Find functions f and g so that f [g(x)] = H(x) where H(x)=(1+x^2)^3\r
\n" ); document.write( "\n" ); document.write( "2. If g(x)=x^2+4x+2 find g(2) and g(x+2)\r
\n" ); document.write( "\n" ); document.write( "3. For f(x)=4x+1 and g(x)=x^2-2x-4 find (g-f)(x). Simplify the answer.\r
\n" ); document.write( "\n" ); document.write( "4.What is the function which would intersect the y-axis 2 positions up(vertical) from the function f(x)=x^2\r
\n" ); document.write( "\n" ); document.write( "5. Using the graphing utility to approximate any relative minimum or maximum points of f(x)=x^2-6x.\r
\n" ); document.write( "\n" ); document.write( "THANK YOU VERY MUCH
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Algebra.Com's Answer #105789 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
1. Find functions f and g so that f [g(x)] = H(x) where H(x)=(1+x^2)^3 \r
\n" ); document.write( "\n" ); document.write( "g(x) = 1+x^2
\n" ); document.write( "f(x) = x^3
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\n" ); document.write( "\n" ); document.write( "2. If g(x)=x^2+4x+2 find g(2) and g(x+2)
\n" ); document.write( "g(2) = 1+2^2 = 5
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\n" ); document.write( "g(x+2) = 1 + (x+2)^2 = x^2 + 4x +5
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\n" ); document.write( "\n" ); document.write( "3. For f(x)=4x+1 and g(x)=x^2-2x-4 find (g-f)(x). Simplify the answer.\r
\n" ); document.write( "\n" ); document.write( "(g-f)(x) = x^2-2x-4 -(4x+1) = x^2 -6x -5
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\n" ); document.write( "4.What is the function which would intersect the y-axis 2 positions up(vertical) from the function f(x)=x^2 \r
\n" ); document.write( "\n" ); document.write( "f(x) = x^2 +2
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\n" ); document.write( "\n" ); document.write( "5. Using the graphing utility to approximate any relative minimum or maximum points of f(x)=x^2-6x.
\n" ); document.write( "(3,-9)
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