document.write( "Question 106082: find the composition function\r
\n" ); document.write( "\n" ); document.write( "Let f(x) = log(x^2-5) and let g(x) = x+6. Find the composite finctions, f[g(x)] and g[f(x)] \n" ); document.write( "

Algebra.Com's Answer #77176 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29=log%28%28x%5E2-5%29%29\"$
\n" ); document.write( " $\"g%28x%29=x%2B6\"$
\n" ); document.write( " $\"f%28g%28x%29%29=log%28%28x%2B6%29%5E2-5%29\"$ Substitute.
\n" ); document.write( " $\"f%28g%28x%29%29=log%28%28x%5E2%2B12x%2B36%29-5%29\"$ Use the FOIL (First Outer Inner Last) Method.
\n" ); document.write( " $\"f%28g%28x%29%29=log%28%28x%5E2%2B12x%2B31%29%29\"$ Simplify.
\n" ); document.write( " $\"g%28f%28x%29%29=%28log%28%28x%5E2-5%29%29%29%2B6\"$ Substitute.
\n" ); document.write( " $\"g%28f%28x%29%29=%28log%28%28x%5E2-5%29%29%29%2Blog%28%2810%5E6%29%29\"$ Use your logarithm rules.
\n" ); document.write( " $\"g%28f%28x%29%29=log%28%2810%5E6%2A%28x%5E2-5%29%29%29%29\"$ SImplify. \n" ); document.write( "

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