document.write( "Question 1055355: given f(x)=2x^2+2 find the domain, range, and inverse of f(x) and f^-1(x)\r
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Algebra.Com's Answer #670645 by Fombitz(32388) $\"\"$ $\"About$

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Converting to vertex form,
\n" ); document.write( " $\"f%28x%29=2%28x-0%29%5E2%2B2\"$
\n" ); document.write( "So the domain is all real numbers, the range is [ $\"2\"$ , $\"infinity\"$ )
\n" ); document.write( "To get the inverse, use x,y nomenclature,
\n" ); document.write( " $\"y=2x%5E2%2B2\"$
\n" ); document.write( "Interchange x and y and solve for y.
\n" ); document.write( "The new y is the inverse.
\n" ); document.write( " $\"x=2y%5E2%2B2\"$
\n" ); document.write( " $\"2%5Ey%5E2=x-2\"$
\n" ); document.write( " $\"y%5E2=%28x-2%29%2F2\"$
\n" ); document.write( " $\"y=0+%2B-+sqrt%28%28x-2%29%2F2%29\"$
\n" ); document.write( " $\"f%5E%28-1%29=0+%2B-+sqrt%28%28x-2%29%2F2%29\"$
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