document.write( "Question 733563: if g(x)=x+3 and f(x)=x^2-2, find the value of g(f(x+1)).\r
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Algebra.Com's Answer #448476 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
\"find the value of g(f(x+1))\", not certain this is properly asked. You need specific information about some numbers to find a value. Here is what we can do with those two functions about the composition.\r
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\n" ); document.write( "\n" ); document.write( "From g(x), g(x)=x+3. We want to let x=f(x).
\n" ); document.write( "g(__)=(__)+3, put f(x) in the grouping location. \"g%28f%28x%29%29=f%28x%29%2B3\".\r
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\n" ); document.write( "\n" ); document.write( "We already have a definition for f(x), so we will use this expression:
\n" ); document.write( "\"g%28f%28x%29%29=%28x%5E2-2%29%2B3\". BUT THAT IS STILL NOT FINISHED. We are asked for not simply \"x=f%28x%29\", but we are asked for \"x=f%28x%2B1%29\". Then we want:\r
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\n" ); document.write( "\n" ); document.write( "\"g%28f%28x%2B1%29%29=f%28x%2B1%29%2B3\"
\n" ); document.write( "\"g%28f%28x%2B1%29%29=%28%28x%2B1%29%5E2-2%29%2B3\"
\n" ); document.write( "=\"%28x%5E2%2B2x%2B1+-2%29%2B3\"
\n" ); document.write( "=\"x%5E2%2B2x-1%2B3\"
\n" ); document.write( "=\"x%5E2%2B2x%2B4\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28g%28f%28x%2B1%29%29=x%5E2%2B2x%2B4%29\"
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