document.write( "Question 146847: Let f(x)=√(x+3 (sqrt(x+3) )and g (x)=x^2 )-1.Find fog and gof. \n" ); document.write( "

Algebra.Com's Answer #107252 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
I think these are your two equations.
\n" ); document.write( " $\"f%28x%29=sqrt%28x%2B3%2Asqrt%28x%2B3%29%29\"$
\n" ); document.write( " $\"g%28x%29=x%5E2\"$
\n" ); document.write( "For the first substitute $\"x%5E2\"$ wherever there is an x in f.
\n" ); document.write( "f(g(x))= $\"sqrt%28x%5E2%2B3%2Asqrt%28x%5E2%2B3%29%29\"$
\n" ); document.write( "Next, substitute f(x) whereever there is an x in g.
\n" ); document.write( "g(f(x))= $\"%28sqrt%28x%2B3%2Asqrt%28x%2B3%29%29%29%5E2\"$
\n" ); document.write( "g(f(x))= $\"x%2B3%2Asqrt%28x%2B3%29\"$ \n" ); document.write( "

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