document.write( "Question 93236: I am so confused, can you please help me with this question: $\"f%28x%29=-x%5E2-3x%2B5\"$ $\"g%28x%29=%28x%2B3%29%2F%282x-5%29\"$ $\"g%28f%282%29%29\"$ \n" ); document.write( "

Algebra.Com's Answer #67868 by Earlsdon(6294) $\"\"$ $\"About$

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If:
\n" ); document.write( " $\"f%28x%29+=+-x%5E2-3x%2B5\"$ and
\n" ); document.write( " $\"g%28x%29+=+%28x%2B3%29%2F%282x-5%29\"$
\n" ); document.write( "Find:
\n" ); document.write( " $\"g%28f%282%29%29\"$
\n" ); document.write( "First find $\"f%282%29\"$ by substituting 2 for x in the function $\"f%28x%29+=+-x%5E2-3x%2B5\"$
\n" ); document.write( " $\"f%282%29+=+-%282%29%5E2-3%282%29%2B5\"$ Evaluate this.
\n" ); document.write( " $\"f%282%29+=+-4-6%2B5\"$
\n" ); document.write( " $\"f%282%29+=+-5\"$ Now substitute -5 for x in the function $\"g%28x%29+=+%28x%2B3%29%2F%282x-5%29\"$
\n" ); document.write( " $\"g%28-5%29+=+%28-5%2B3%29%2F%282%28-5%29-5%29\"$
\n" ); document.write( " $\"g%28-5%29+=+%28-2%29%2F%28-15%29\"$
\n" ); document.write( " $\"g%28-5%29+=+2%2F15\"$
\n" ); document.write( "So, $\"g%28f%282%29%29+=+2%2F15\"$
\n" ); document.write( " \n" ); document.write( "

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