document.write( "Question 685774: 1. What is the relationship of input and output values for composite functions?\r
\n" ); document.write( "\n" ); document.write( "2. How you know if a radical expression is in simplest form? \r
\n" ); document.write( "\n" ); document.write( "3. How can you tell if radicals are like radicals? \r
\n" ); document.write( "\n" ); document.write( "4. Is the inverse of a function always a function? \n" ); document.write( "

Algebra.Com's Answer #424570 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "1.\r
\n" ); document.write( "\n" ); document.write( "In a $\"composite\"$ $\"function\"$ , the $\"output\"$ of the $\"inside\"$ function is the $\"input\"$ of the $\"outside\"$ $\"+function\"$ . \r
\n" ); document.write( "\n" ); document.write( "That is, in $\"f%28g%28x%29%29\"$ , the $\"output\"$ of $\"g%28x%29\"$ is the $\"input\"$ of $\"f%28x%29\"$ .\r
\n" ); document.write( "\n" ); document.write( "2.\r
\n" ); document.write( "\n" ); document.write( " If the radicand contains $\"no\"$ perfect square factors, the radical is $\"in\"$ $\"+simplest\"$ $\"+form\"$ .\r
\n" ); document.write( "\n" ); document.write( "3.\r
\n" ); document.write( "\n" ); document.write( "Like radicals have the same radicand and the same index.\r
\n" ); document.write( "\n" ); document.write( "4.\r
\n" ); document.write( "\n" ); document.write( "The inverse of a function $\"does\"$ $\"+not\"$ have to be a function. In fact, the inverse of any $\"even\"$ function is $\"not\"$ a $\"function\"$ when the $\"domain\"$ is the $\"real\"$ numbers. \r
\n" ); document.write( "\n" ); document.write( "For example, the $\"inverse\"$ of $\"y+=+x%5E2\"$ is not a function unless the $\"domain\"$ is $\"limited\"$ to $\"positive\"$ numbers.\r
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