document.write( "Question 828853: find the inverse:
\n" ); document.write( "y=(x-3)^2+4 \n" ); document.write( "

Algebra.Com's Answer #499550 by josgarithmetic(39625) $\"\"$ $\"About$

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Not really have an inverse. the inverse relation is not a function, but a relation.\r
\n" ); document.write( "\n" ); document.write( " $\"x=%28y-3%29%5E2%2B4\"$ , switching x and y.
\n" ); document.write( " $\"%28y-3%29%5E2=x-4\"$
\n" ); document.write( " $\"y-3=0%2B-+sqrt%28x-4%29\"$
\n" ); document.write( " $\"y=3%2B-+sqrt%28x-4%29\"$ Composed of upper and lower branches.\r
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\n" ); document.write( "\n" ); document.write( "The given equation, $\"y=%28x-3%29%5E2%2B4\"$ , has vertex (3,4).
\n" ); document.write( "The domain of (-oo,3] will have the LOWER branch, $\"y=3-sqrt%28x-4%29\"$ as its inverse function.
\n" ); document.write( "The part of the domain, [3,oo) of the given function will have the UPPER branch, $\"y=3%2Bsqrt%28x-4%29\"$ as its inverse function.\r
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