document.write( "Question 182022: If we have the following functions:\r
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document.write( " f(x) = 3x – 2 and g(x) = x2 – 2x find the following:\r
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document.write( " a. (f ○ g)(1)
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document.write( " b. (g ○ f)(1)
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document.write( " c. (f ○ g)(x)
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Algebra.Com's Answer #136690 by eperette(173)![]() ![]() ![]() You can put this solution on YOUR website! a) f(g(1)) \n" ); document.write( "g(1)=(1)^2 -2(1) \n" ); document.write( "g(1)= 1 -2 \n" ); document.write( "g(1)=-1 \n" ); document.write( "f(g(1))=f(-1) \n" ); document.write( "f(-1)=3(-1)-2 \n" ); document.write( "f(-1)=-3-2 \n" ); document.write( "f(-1)=-5\r \n" ); document.write( "\n" ); document.write( "therefore f(g(1))=-5 \n" ); document.write( "*********************************** \n" ); document.write( "b) g(f(1)) \n" ); document.write( "f(1)=3(1)-2 \n" ); document.write( "f(1)=3-2 \n" ); document.write( "f(1)=1 \n" ); document.write( "g(f(1))=g(1) \n" ); document.write( "g(1)=(1)^2-2(1) \n" ); document.write( "g(1)=1-2 \n" ); document.write( "g(1)=-1 \n" ); document.write( "therefore g(f(1))=-1 \n" ); document.write( "************************************ \n" ); document.write( "f(g(x))=f(x^2-2x) \n" ); document.write( "f(x^2-2x)= 3(x^2-2x)-2= 3x^2 - 6x -2 \n" ); document.write( " |