document.write( "Question 551596: F(x)=x^2-3x
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document.write( "g(x)=2x+4\r
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document.write( "What is the value of:
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document.write( " F(g^-1(-4))
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document.write( "Can you please help me with this problem? I am having trouble with functions. \n" );
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Algebra.Com's Answer #359811 by nerdybill(7384) You can put this solution on YOUR website! F(x)=x^2-3x \n" ); document.write( "g(x)=2x+4 \n" ); document.write( "What is the value of: \n" ); document.write( "F(g^-1(-4)) \n" ); document.write( ". \n" ); document.write( "Begin by finding:g^-1(x) \n" ); document.write( "g(x)=2x+4 \n" ); document.write( "y=2x+4 \n" ); document.write( "switch the variables and solve for y: \n" ); document.write( "x=2y+4 \n" ); document.write( "x-4=2y \n" ); document.write( "x/2 - 2 = y (this is g^-1(x)) \n" ); document.write( ". \n" ); document.write( "Now, find: \n" ); document.write( "g^-1(-4) = 4/2 - 2 \n" ); document.write( "g^-1(-4) = 2 - 2 \n" ); document.write( "g^-1(-4) = 0 \n" ); document.write( ". \n" ); document.write( "Finally, we can find: \n" ); document.write( "F(g^-1(-4)) \n" ); document.write( "F(0) \n" ); document.write( "F(0)=0^2-30 = 0-0 = 0 \n" ); document.write( ". \n" ); document.write( "Solution: 0\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |