document.write( "Question 563359: Let f(x)= 2x^2 -x +1 and g(x)= SQUARE ROOT OF(5-x).... Find and simplify each of the following:\r
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document.write( "1) g(-19)\r
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document.write( "2) g^-1(x)\r
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document.write( "3) (f o g)(4)\r
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document.write( "4) g^-1(1) \n" );
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Algebra.Com's Answer #364852 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Let f(x)= 2x^2 -x +1 and g(x)= SQUARE ROOT OF(5-x).... Find and simplify each of the following: \n" ); document.write( "1) g(-19) = sqrt(5+19) = sqrt(24) \n" ); document.write( "------------------------------------- \n" ); document.write( "2) g^-1(x) \n" ); document.write( "Given y = sqrt(5-x) \n" ); document.write( "Interchange x and y: \n" ); document.write( "x = sqrt(5-y) \n" ); document.write( "5-y = x^2 \n" ); document.write( "y = 5-x^2 \n" ); document.write( "g^-1(x) = 5-x^2 \n" ); document.write( "------------------------------------- \n" ); document.write( "3) (f o g)(4) = f[g(4)] = f[sqrt(1)] = 1 = 2-1+1 = 2 \n" ); document.write( "------------------------------------- \n" ); document.write( "4) g^-1(1) \n" ); document.write( "g^-1(1) = 5-1^2 = 4 \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=========================== \n" ); document.write( " \n" ); document.write( " |