document.write( "Question 1136442: For each of the following functions, write the formula for the function's inverse.\r
\n" ); document.write( "\n" ); document.write( "a.) f(x)=4(2.6)^x where y=f(x)
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\n" ); document.write( "b.) f(x)=log(x/21) where y=f(x)
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Algebra.Com's Answer #754227 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "For each of the following functions, write the formula for the function's inverse.
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29=4%282.6%29%5Ex+\"where \"y=f%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"y=4%282.6%29%5Ex+\"....swap \"x\" and \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"x=4%282.6%29%5Ey+\"....solve or \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2F4=%282.6%29%5Ey+\".....take log of both sides\r
\n" ); document.write( "\n" ); document.write( "\"log%28x%2F4%29=log%28%282.6%29%5Ey%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28x%2F4%29=ylog%282.6%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"y=log%28%28x%2F4%29%29%2Flog%28%282.6%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%5E-1%28x%29=log%28%28x%2F4%29%29%2Flog%28%282.6%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "b.) \r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=log%2810%2C%28x%2F21%29%29\" where \"y=f%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"y=log%2810%2C%28x%2F21%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=log%2810%2C%28y%2F21%29%29\"....recall that \"log%28b%2C%28y%29+%29=+x\" is equivalent to (means the exact same thing as) \"y+=+b%5Ex\"\r
\n" ); document.write( "\n" ); document.write( "\"y+%2F21=+10%5Ex\"\r
\n" ); document.write( "\n" ); document.write( "\"y=21%2A10%5Ex\"\r
\n" ); document.write( "\n" ); document.write( "\"f%5E-1%28x%29=21%2A10%5Ex\"\r
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