document.write( "Question 443374: if f(x)= x squared +4 & g(x)= radical 1-x what is the value of f(g(-3)) ? \n" ); document.write( "

Algebra.Com's Answer #305848 by Leaf W.(135) $\"\"$ $\"About$

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You start with f[g(-3)].
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\n" ); document.write( "Since it is on the inside, start with the g(-3), which is basically g(x). Therefore, if g(x)= $\"sqrt%281-x%29\"$ , then g(-3)= $\"sqrt%281-%28-3%29%29\"$
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\n" ); document.write( "f[ $\"sqrt%281-%28-3%29%29\"$ ]
\n" ); document.write( "f[ $\"sqrt%281%2B3%29\"$ ]
\n" ); document.write( "f[ $\"sqrt%284%29\"$ ]
\n" ); document.write( "f(2)
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\n" ); document.write( "Since f(x)= $\"x%5E2+%2B+4\"$ , then f(2)= $\"2%5E2+%2B+4\"$
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\n" ); document.write( " $\"2%5E2+%2B+4\"$
\n" ); document.write( " $\"4+%2B+4\"$
\n" ); document.write( "8
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\n" ); document.write( "Therefore, f[g(-3)]=8 \n" ); document.write( "

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