document.write( "Question 1181315: If Q(x)=f(g(x)−h(x)) andf(x)=3x , g(x)=log2(x) , h(x) =log2(x−4). Find the fully simplified expression for Q(x) and the value of Q(8). \n" ); document.write( "

Algebra.Com's Answer #811193 by MathLover1(20850) $\"\"$ $\"About$

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If \r
\n" ); document.write( "\n" ); document.write( " $\"Q%28x%29=f%28g%28x%29-h%28x%29%29+\"$
\n" ); document.write( " $\"f%28x%29=3x\"$
\n" ); document.write( " $\"g%28x%29=log%282%2Cx%29+\"$
\n" ); document.write( " $\"h%28x%29+=log%282%2Cx-4%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Find the fully simplified expression for Q(x) and the value of Q(8).\r
\n" ); document.write( "\n" ); document.write( " $\"Q%28x%29=f%28g%28x%29-h%28x%29%29\"$
\n" ); document.write( " $\"Q%28x%29=f%28log%282%2Cx%29+-log%282%2Cx-4%29%29\"$
\n" ); document.write( " $\"Q%28x%29=f%28log%282%2Cx%2F%28x-4%29%29%29\"$
\n" ); document.write( " $\"Q%28x%29+=3%28log%282%2Cx%2F%28x-4%29%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"x=8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"Q%288%29+=3%28log%282%2C8%2F%288-4%29%29%29\"$
\n" ); document.write( " $\"Q%288%29+=3%28log%282%2C8%2F4%29%29\"$
\n" ); document.write( " $\"Q%288%29+=3%28log%282%2C2%29%29\"$
\n" ); document.write( " $\"Q%288%29+=3%281%29\"$
\n" ); document.write( " $\"Q%288%29+=3\"$ \r
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\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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