document.write( "Question 133968: It's been a few years since high school and I am taking an online algebra course and am having difficulty remembering how to do function fēg and the textbook is very vague. This is the problem:
\n" ); document.write( "Find the domain of the composite function fēg
\n" ); document.write( "f(x)=√x; g(x)=4x+4 \n" ); document.write( "

Algebra.Com's Answer #97944 by Earlsdon(6294) $\"\"$ $\"About$

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If $\"f%28x%29+=+sqrt%28x%29\"$ and $\"g%28x%29+=+4x%2B4\"$ find the composite function:
\n" ); document.write( " $\"f%28g%28x%29%29\"$
\n" ); document.write( " $\"f%284x%2B4%29+=+sqrt%284x%2B4%29\"$ Simplify.
\n" ); document.write( " $\"f%28g%28x%29%29+=+sqrt%284%28x%2B1%29%29\"$
\n" ); document.write( " $\"f%28g%28x%29%29+=+2sqrt%28x%2B1%29\"$
\n" ); document.write( "This composite function will remain real as long as $\"x+%3E=0\"$
\n" ); document.write( "When $\"x%3C0\"$ the composite function will become imaginary.
\n" ); document.write( "The domain (the set of all possible values of the independent variable (x)) is:
\n" ); document.write( "{x|x>=0} \n" ); document.write( "

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