document.write( "Question 211681: Find the inverse of the function f(x)=8^(4x+9) \n" ); document.write( "

Algebra.Com's Answer #159961 by HyperBrain(694) $\"\"$ $\"About$

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$\"f%28x%29=8%5E%284x%2B9%29\"$
\n" ); document.write( " $\"f%28x%29=8%5E%284x%29+%2A+8%5E9\"$
\n" ); document.write( " $\"f%28x%29=%288%5E4%29%5Ex+%2A+8%5E9\"$
\n" ); document.write( " $\"f%28x%29=%288%5E4%29%5Ex+%2A+8%5E9\"$
\n" ); document.write( " $\"8%5E-9+%2A+f%28x%29=%288%5E4%29%5Ex\"$
\n" ); document.write( "log_ $\"8%5E4\"$ $\"8%5E-9+%2A+f%28x%29\"$ =x
\n" ); document.write( "log_ $\"8%5E4\"$ $\"8%5E-9\"$ + log_ $\"8%5E4\"$ f(x)=x
\n" ); document.write( "(-9/4) + log_ $\"8%5E4\"$ f(x)=x
\n" ); document.write( "---
\n" ); document.write( "So the inverse function is,
\n" ); document.write( " $\"f%5E-1%28x%29=%28-9%2F4%29+%2B+log_4096+%28x%29\"$ \n" ); document.write( "

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