document.write( "Question 996339: Help Please Thanks.\r
\n" ); document.write( "\n" ); document.write( "Given f(x)=x^2/2, g(x)=2/x, and h(x)=4x-3, find h(f(g(x))).\r
\n" ); document.write( "\n" ); document.write( "A. 2/x^2
\n" ); document.write( "B. 16-48x+9x^2
\n" ); document.write( "C. 8-3x^2/x^2
\n" ); document.write( "D. 16-4x^2/x^4
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Algebra.Com's Answer #614829 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( " \"h%28f%28g%28x%29%29%29=+h%28f%282%2Fx%29%29\"......since \"f%28g%28x%29%29=f%282%2Fx%29=%282%2Fx%29%5E2%2F2=%284%2Fx%5E2%29%2F2=4%2F2x%5E2=2%2Fx%5E2\" we have\r
\n" ); document.write( "\n" ); document.write( " \"h%28f%28g%28x%29%29%29=+h%282%2Fx%5E2%29\"....given \"h%28x%29=4x-3\", substitute \"x\" with \"%282%2Fx%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( " \"h%28f%28g%28x%29%29%29=+4%282%2Fx%5E2%29-3\"\r
\n" ); document.write( "\n" ); document.write( "\"h%28f%28g%28x%29%29%29=+8%2Fx%5E2-3\"\r
\n" ); document.write( "\n" ); document.write( "\"h%28f%28g%28x%29%29%29=+8%2Fx%5E2-3x%5E2%2Fx%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"h%28f%28g%28x%29%29%29=+%288-3x%5E2%29%2Fx%5E2\"\r
\n" ); document.write( "\n" ); document.write( "so, your answer is C
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