document.write( "Question 270992: How do you solve g(h(x)) when g(x)=3/(x+1) and h(x)=(x+5)/2? \n" ); document.write( "

Algebra.Com's Answer #198453 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
g(h(x)) means to put the h function into the g function. We get
\n" ); document.write( "g(h(x)) =
\n" ); document.write( " $\"g%28%28x%2B5%29%2F2%29+=+3%2F%28%28%28x%2B5%29%2F2%29%2B+1%29\"$
\n" ); document.write( "simplify the denominator to get
\n" ); document.write( " $\"3%2F%28%28x%2B5%2B2%29%2F2%29\"$
\n" ); document.write( "multiply by the reciprocal to get
\n" ); document.write( " $\"6%2F%28x%2B7%29\"$ \n" ); document.write( "

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