document.write( "Question 883000: Evaluate the function for f(x)x^2+1 and g(x)=x-4
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\n" ); document.write( "(fg)(-6)
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Algebra.Com's Answer #533229 by Leaf W.(135) $\"\"$ $\"About$

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Hello!
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\n" ); document.write( "(fg)(-6) essentially means f(g(-6)) -- that is, you find g(-6) by plugging -6 into the g function, then plug the resulting value into the f function.
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\n" ); document.write( "First, let us find g(-6):
\n" ); document.write( "g(x) = x - 4
\n" ); document.write( "g(-6) = -6 - 4 = -10
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\n" ); document.write( "Now, let us plug that into f to find f(g(-6)):
\n" ); document.write( " $\"f%28x%29+=+x%5E2+%2B+1\"$
\n" ); document.write( " $\"f%28g%28-6%29%29+=+f%28-10%29+=+%28-10%29%5E2+%2B+1+=+100+%2B+1+=+101\"$
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\n" ); document.write( "Therefore, (fg)(-6) = 101
\n" ); document.write( "Let me know if you need any further clarification! =) \n" ); document.write( "

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