document.write( "Question 946270: Solve the equation (f compose g)(x) = 0. (Enter your answers as a comma-separated list.)
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document.write( "f(x) = x2 − x − 6, g(x) = 2x − 4\r
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document.write( "I plugged g(x) into f(x) and ended up with 2x^2-9x+3 and used the quadratic to find the solutions, but I wasn't getting the correct answer. \n" );
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Algebra.Com's Answer #577276 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve the equation (f o g)(x) = 0. (Enter your answers as a comma-separated list.) \n" ); document.write( " f(x) = x^2 − x − 6, g(x) = 2x − 4 \n" ); document.write( "I plugged g(x) into f(x) and ended up with 2x^2-9x+3 and used the quadratic to find the solutions, but I wasn't getting the correct answer. \n" ); document.write( "----------------- \n" ); document.write( "fog(x) = f[g(x)] = f[2x-4] = (2x-4)^2 - (2x-4) - 6 \n" ); document.write( "---- \n" ); document.write( "= 4x^2 -16x + 16 - 2x + 4 - 6 \n" ); document.write( "---- \n" ); document.write( "= 4x^2 -18x + 14 \n" ); document.write( "---- \n" ); document.write( "Solve:: 2x^2 - 9x + 7 = 0 \n" ); document.write( "--- \n" ); document.write( "(x-1)(2x-7) = 0 \n" ); document.write( "---- \n" ); document.write( "Solutions:: x = 1 or x = 7/2 \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------------- \n" ); document.write( " \n" ); document.write( " |