document.write( "Question 164403: If f(x)=-x^2+3x+5 and g(x)=-|3-x|, determine f(g(5)). \n" ); document.write( "

Algebra.Com's Answer #121107 by Fombitz(32388) $\"\"$ $\"About$

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First find g(5).
\n" ); document.write( " $\"g%285%29=-abs%283-x%29=-abs%283-5%29=-abs%28-2%29=-2\"$
\n" ); document.write( "Then find f(g(5)) or f(-2),
\n" ); document.write( " $\"f%28g%285%29%29=f%28-2%29=-%28-2%29%5E2%2B3%28-2%29%2B5=-4-6%2B5=-5\"$
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\n" ); document.write( "f(g(5))=-5 \n" ); document.write( "

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