document.write( "Question 1021098: If g(x)=-x^2 determine the coordinates of the point of intersection of g(x) and its inverse algebraically where x\n" ); document.write( "

Algebra.Com's Answer #637219 by Fombitz(32388) $\"\"$ $\"About$

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$\"y=-x%5E2\"$
\n" ); document.write( "To find the inverse interchange x and y and solve for the new y.
\n" ); document.write( "The new y is the inverse.
\n" ); document.write( " $\"x=-y%5E2\"$
\n" ); document.write( " $\"y%5E2=-x\"$
\n" ); document.write( " $\"y=0+%2B-+sqrt%28-x%29\"$
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\n" ); document.write( " $\"-x%5E2=-sqrt%28-x%29\"$
\n" ); document.write( " $\"x%5E2=sqrt%28-x%29\"$
\n" ); document.write( " $\"x%5E4=-x\"$
\n" ); document.write( " $\"x%5E4%2Bx=0\"$
\n" ); document.write( " $\"x%28x%5E3%2B1%29=0\"$
\n" ); document.write( " $\"x%28x%2B1%29%28x%5E2-x%2B1%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x=0\"$ Not in the range we're interested in.
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\n" ); document.write( " $\"x%2B1=0\"$
\n" ); document.write( " $\"x=-1\"$
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