document.write( "Question 1032654: The function f(x) = ax^r satisfies f(2) = 1 and f(32) = 4. Find r. \n" ); document.write( "

Algebra.Com's Answer #647327 by robertb(5830) $\"\"$ $\"About$

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f(2) = 1 ==> $\"a%2A2%5Er+=+1\"$ <-------Equation A\r
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\n" ); document.write( "\n" ); document.write( "f(32) = 4 ==> $\"a%2A32%5Er+=+4\"$ . <------Equation B.\r
\n" ); document.write( "\n" ); document.write( "Divide Equation B by corresponding sides of equation A:\r
\n" ); document.write( "\n" ); document.write( "==> $\"16%5Er+=+4\"$ \r
\n" ); document.write( "\n" ); document.write( "==> r = 1/2.\r
\n" ); document.write( "\n" ); document.write( "BTW, $\"a+=+1%2Fsqrt%282%29\"$ , and the function is $\"f%28x%29+=+sqrt%28x%2F2%29\"$ \r
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