document.write( "Question 1200368: Use the function to evaluate the indicated expressions and simplify.
\n" ); document.write( "f(x) = 2x^2 + 3\r
\n" ); document.write( "\n" ); document.write( "f(x+2) = (blank)\r
\n" ); document.write( "\n" ); document.write( "f(x) + f(2) = (blank) \n" ); document.write( "
Algebra.Com's Answer #834493 by math_tutor2020(3816)\"\" \"About 
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\n" ); document.write( "f(x) = 2x^2 + 3
\n" ); document.write( "f(x+2) = 2(x+2)^2 + 3 ..... every x replaced with x+2
\n" ); document.write( "f(x+2) = 2(x^2+4x+4) + 3 .... FOIL rule
\n" ); document.write( "f(x+2) = 2x^2+8x+8 + 3
\n" ); document.write( "f(x+2) = 2x^2+8x+11\r
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\n" ); document.write( "\n" ); document.write( "f(x) = 2x^2+3
\n" ); document.write( "f(2) = 2*2^2+3 .... every x replaced with 2
\n" ); document.write( "f(2) = 2*4+3
\n" ); document.write( "f(2) = 8+3
\n" ); document.write( "f(2) = 11
\n" ); document.write( "f(x)+f(2) = (2x^2+3) + (11)
\n" ); document.write( "f(x)+f(2) = 2x^2+14\r
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\n" ); document.write( "\n" ); document.write( "Extra info:
\n" ); document.write( "We can see that
\n" ); document.write( "f(x+2) = f(x)+f(2)
\n" ); document.write( "is not a true equation since we ended up with different polynomial results.
\n" ); document.write( "In more general terms, f(a+b) = f(a)+f(b) is also not true.
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