document.write( "Question 145020: PLEASEEE\r
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document.write( "1. Find functions f and g so that f [g(x)] = H(x) where H(x)=(1+x^2)^3\r
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document.write( "2. If g(x)=x^2+4x+2 find g(2) and g(x+2)\r
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document.write( "3. For f(x)=4x+1 and g(x)=x^2-2x-4 find (g-f)(x). Simplify the answer.\r
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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
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document.write( "5. Using the graphing utility to approximate any relative minimum or maximum points of f(x)=x^2-6x.\r
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document.write( "THANK YOU VERY MUCH \n" );
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Algebra.Com's Answer #105789 by stanbon(75887)![]() ![]() ![]() 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 \n" ); document.write( "---------------------------\r \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 \n" ); document.write( "---- \n" ); document.write( "g(x+2) = 1 + (x+2)^2 = x^2 + 4x +5 \n" ); document.write( "==========================\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( "(g-f)(x) = x^2-2x-4 -(4x+1) = x^2 -6x -5 \n" ); document.write( "------------------- \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( "f(x) = x^2 +2 \n" ); document.write( "---------------------\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. \n" ); document.write( "(3,-9) \n" ); document.write( " \n" ); document.write( " |