document.write( "Question 1186231: Find the equation of the inverse for each function. State which of the following inverses are functions.\r
\n" ); document.write( "\n" ); document.write( "a. f(x) = 1/(2 x) - 3\r
\n" ); document.write( "\n" ); document.write( "b. f(x) = 4x 2 - 5\r
\n" ); document.write( "\n" ); document.write( "c. A(r) = 4(Pi)r^2
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Algebra.Com's Answer #817115 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "a. \"f%28x%29+=+1%2F%282x%29+-+3\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=+y\"\r
\n" ); document.write( "\n" ); document.write( "\"y+=+1%2F%282x%29+-+3\"...........swap variables\r
\n" ); document.write( "\n" ); document.write( "\"x=+1%2F%282y%29+-+3\".........solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2B3=+1%2F%282y%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"2y=+1%2F%28x%2B3%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"y=+1%2F%282%28x%2B3%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "=> \"f\"'\"%28x%29+=+1%2F%282%28x%2B3%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "b. \"f%28x%29+=+4x%5E2+-+5\"\r
\n" ); document.write( "\n" ); document.write( "\"y=+4x%5E2+-+5\"\r
\n" ); document.write( "\n" ); document.write( "\"x=+4y%5E2+-+5\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2B5=+4y%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B5%29%2F4=+y%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"y\"= ± \"sqrt%28%28x%2B5%29%2F4%29+\"\r
\n" ); document.write( "\n" ); document.write( " \"f\"'\"%28x%29\"= ± \"sqrt%28x+%2B+5%29%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "c. \"A%28r%29+=+4%28Pi%29r%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"r+=+4%28Pi%29%28A%28r%29%29%5E2\".........swap variables \r
\n" ); document.write( "\n" ); document.write( "\"r%2F4%28Pi%29=%28A%28r%29%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"A\"'\"%28r%29\"= ± \"sqrt%28r%29%2F%282sqrt%28pi%29%29\"\r
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