document.write( "Question 892232: if 2f(x) - 3f(1/x)= x2 determine f(2) \n" ); document.write( "

Algebra.Com's Answer #540397 by robertb(5830) $\"\"$ $\"About$

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Given: $\"2f%28x%29+-+3f%281%2Fx%29+=+x%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( "let x = 2. Then $\"2f%282%29+-+3f%281%2F2%29+=+4\"$
\n" ); document.write( "Let x = 1/2. Then $\"2f%281%2F2%29+-+3f%282%29+=+1%2F4\"$
\n" ); document.write( "From the second equation, $\"f%281%2F2%29+=+1%2F8+%2B+%283%2F2%29%2Af%282%29\"$ .
\n" ); document.write( "Substitute this into the first:
\n" ); document.write( " $\"2f%282%29+-+3%2F8+-+%289%2F2%29%2Af%282%29+=+4\"$
\n" ); document.write( "==> $\"%28-5%2F2%29%2Af%282%29+=+35%2F8\"$ ==> $\"f%282%29+=+-7%2F4\"$ \n" ); document.write( "

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