document.write( "Question 352624: Given two functions f(x)=2x-5 and g(x)=x^2. Are the following statements true or false. Could you explain as to how you got the answer. And if my answers are correct.
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document.write( "a) f(x) + g(x) = g(x) + f(x) My answer gx^2 +2fx-5f
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document.write( "b) f(x) - g(x) = g(x) - f(x) Not sure
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document.write( "c) f(2) + f(3) = f(5) My answer f(2)(2x-5)+f(3)(2x-5)=10fx-25f
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document.write( "d) f(0) is always equal to zero. My answer 0 zero \n" );
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Algebra.Com's Answer #252017 by CharlesG2(834)![]() ![]() ![]() You can put this solution on YOUR website! \"Given two functions f(x)=2x-5 and g(x)=x^2. Are the following statements true or false. Could you explain as to how you got the answer. And if my answers are correct. \n" ); document.write( "a) f(x) + g(x) = g(x) + f(x) My answer gx^2 +2fx-5f \n" ); document.write( "b) f(x) - g(x) = g(x) - f(x) Not sure \n" ); document.write( "c) f(2) + f(3) = f(5) My answer f(2)(2x-5)+f(3)(2x-5)=10fx-25f \n" ); document.write( "d) f(0) is always equal to zero. My answer 0 zero\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f(x) = 2x - 5 and g(x) = x^2 \n" ); document.write( "on c) and d) you are subsituting in values for x \n" ); document.write( "a) f(x) + g(x) = g(x) + f(x) = 2x - 5 + x^2 = x^2 + 2x - 5 \n" ); document.write( "true, just rearranging terms \n" ); document.write( "b) f(x) - g(x) = 2x - 5 - x^2 \n" ); document.write( " g(x) - f(x) = x^2 - 2x + 5 \n" ); document.write( "false, 2 different results \n" ); document.write( "c) f(2) + f(3) = 2(2) - 5 + 2(3) - 5 = 4 - 5 + 6 - 5 = 10 - 10 = 0 \n" ); document.write( " f(5) = 2(5) - 5 = 10 - 5 = 5 \n" ); document.write( "false, 2 different results \n" ); document.write( "d) f(0) = 2(0) - 5 = 0 - 5 = -5 \n" ); document.write( "false, -5 is not 0 (not zero) \n" ); document.write( " \n" ); document.write( " |