document.write( "Question 388228: a) Sketch the graph of g: x|--> $\"x%5E2%2B6x%2B7\"$ \r
\n" ); document.write( "\n" ); document.write( "b) Explain why g for x(belongs to) ]-(infinity),-3] has an inverse function $\"g%5E-1\"$ \r
\n" ); document.write( "\n" ); document.write( "c) Find Algebraically, the equation of $\"g%5E-1\"$ \r
\n" ); document.write( "\n" ); document.write( "Thanks :) \n" ); document.write( "

Algebra.Com's Answer #274518 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"graph%28300%2C300%2C-8%2C8%2C-8%2C8%2C0%2Cx%5E2%2B6x%2B7%29\"$
\n" ); document.write( "The domain of $\"g\"$ is ( $\"-infinity\"$ , $\"infinity\"$ ).
\n" ); document.write( "The range of $\"g\"$ is [ $\"-2\"$ , $\"infinity\"$ ).
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\n" ); document.write( " $\"y=x%5E2%2B6x%2B7\"$
\n" ); document.write( "Interchange x and y.
\n" ); document.write( " $\"x=y%5E2%2B6y%2B7\"$
\n" ); document.write( " $\"x=%28y%5E2%2B6y%2B9%29%2B7-9\"$
\n" ); document.write( " $\"x=%28y%2B3%29%5E2-2\"$
\n" ); document.write( " $\"%28y%2B3%29%5E2=x%2B2\"$
\n" ); document.write( " $\"y%2B3=0+%2B-+sqrt%28x%2B2%29\"$
\n" ); document.write( " $\"y=-3+%2B-+sqrt%28x%2B2%29\"$
\n" ); document.write( " $\"highlight%28g%5E%28-1%29=-3+%2B-+sqrt%28x%2B2%29%29\"$
\n" ); document.write( "The domain of $\"g%5E%28-1%29\"$ is [ $\"-2\"$ , $\"infinity\"$ ).
\n" ); document.write( "The range of $\"g%5E%28-1%29\"$ is ( $\"-infinity\"$ , $\"infinity\"$ ).\r
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