document.write( "Question 1040505: Let f (x) = 4x^2 + 9 and g(x) = x – 3\r
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document.write( "(a) Find the composite function ( f o g)(x) and simplify. Show work.\r
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document.write( "(b) Find ( f o g ) (−1) . Show work. \n" );
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Algebra.Com's Answer #655368 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Let f (x) = 4x^2 + 9 and g(x) = x – 3 \n" ); document.write( "(a) Find the composite function ( f o g)(x) and simplify. Show work. \n" ); document.write( "fog(x) = f[g(x)] = f(x-3) = 4(x-3)^2+9 = 4(x^2-6x+9)+9 = 4x^2 - 24x + 45 \n" ); document.write( "-------------------------------------------------- \n" ); document.write( "(b) Find ( f o g ) (−1) . Show work. \n" ); document.write( "f[g(-1)] = f(-1-3) = f(-4) = 4(-4)^2+9 = 64+9 = 73 \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------- \n" ); document.write( " |