document.write( "Question 1189363: 1 a)Is the function f(x) = x^2 +9,x ≥ 0 one-to-one? If so, find f^-1 and justify your answer.
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Algebra.Com's Answer #820712 by ikleyn(52790) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "In the given domain x >= 0, the function is monotonically increasing, \r\n" );
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document.write( "so it is one-to-one map.\r\n" );
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document.write( "Therefore, the inverse function    does exist.\r\n" );
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document.write( "The formula for the inverse function is   =  ,  as you can get it using a backward reasoning.\r\n" );
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document.write( "The domain of f(x) is given in the problem: it is x >= 0.\r\n" );
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document.write( "The range of f(x) is the set of all real numbers >= 9.\r\n" );
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document.write( "The domain of    is the set of all real numbers  x >= 9.\r\n" );
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document.write( "The range of    is the set of all real non-negative numbers.\r\n" );
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\n" ); document.write( "\n" ); document.write( "I answered all the questions, that should be answered.\r
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\n" ); document.write( "\n" ); document.write( "I leave making plots to you, since it is not a tutors' job.\r
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