document.write( "Question 966877: Find the inverse of f(x)=2^x.\r
\n" ); document.write( "\n" ); document.write( "What is the domain and range of f(x)=2^x and its inverse? \n" ); document.write( "

Algebra.Com's Answer #590968 by Fombitz(32388) $\"\"$ $\"About$

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$\"y=2%5Ex\"$
\n" ); document.write( "Interchange x and y and solve for y.
\n" ); document.write( "This new y is the inverse.
\n" ); document.write( " $\"x=2%5Ey\"$
\n" ); document.write( " $\"y=log%282%2C%28x%29%29\"$
\n" ); document.write( " $\"f%5E%28-1%29%28x%29=log%282%2C%28x%29%29=log%28%28x%29%29%29%2Flog%28%282%29%29\"$
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\n" ); document.write( "Domain of $\"f%28x%29\"$ : ( $\"-infinity\"$ , $\"infinity\"$ )
\n" ); document.write( "Range of $\"f%28x%29\"$ : ( $\"0\"$ , $\"infinity\"$ )
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\n" ); document.write( "Domain of $\"f%5E%28-1%29%28x%29\"$ : ( $\"0\"$ , $\"infinity\"$ )
\n" ); document.write( "Range of $\"f%5E%28-1%29%28x%29\"$ : ( $\"-infinity\"$ , $\"infinity\"$ )
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