document.write( "Question 1182273: If f(x) = 1/4x+2 and g(x) = −3x^2+2, determine the value of -3 g(1) and f^-1 (1) \n" ); document.write( "
Algebra.Com's Answer #812256 by Edwin McCravy(20055)\"\" \"About 
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If f(x) = 1/4x+2 and g(x) = −3x^2+2, determine the value of -3 g(1) and f^-1 (1).
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Let's separate the stating of the two problems:

\n" ); document.write( "If f(x) = (1/4)x+2, determine the value of f-1(1).
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document.write( "We find f-1(x)\r\n" );
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document.write( "a. Replace f(x) by y\r\n" );
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document.write( "\"y=expr%281%2F4%29%2Ax%2B2\"\r\n" );
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document.write( "b. Interchange x and y.\r\n" );
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document.write( "\"x=expr%281%2F4%29%2Ay%2B2\"\r\n" );
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document.write( "c. solve for y\r\n" );
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document.write( "Multiply through by 4 to clear the fraction:\r\n" );
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document.write( "\"4x+=+y%2B8\"\r\n" );
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document.write( "\"4x-8=y\"\r\n" );
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document.write( "\"y=4x-8\"\r\n" );
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document.write( "d. replace y by f-1(x)\r\n" );
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document.write( "f-1(x) = 4x-8\r\n" );
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document.write( "Therefore,\r\n" );
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document.write( "f-1(1) = 4(1)-8\r\n" );
document.write( "f-1(1) = 4-8\r\n" );
document.write( "f-1(1) = -4\r\n" );
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document.write( "-------------------------------- \r\n" );
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If g(x) = −3x2+2, determine the value of -3g(1).
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document.write( "   g(1) = −3(1)2+2\r\n" );
document.write( "   g(1) = −3(1)+2\r\n" );
document.write( "   g(1) = -3+2\r\n" );
document.write( "   g(1) = -1\r\n" );
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document.write( "Therefore multiply both sides by -3:\r\n" );
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document.write( " -3g(1) = -3(-1)\r\n" );
document.write( " -2g(1) = 3\r\n" );
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document.write( "Edwin
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