Question 1114070
f(x)=g(x) for their y-coordinates to be equal.


{{{x^3-x^2+1=x^3+x^2-1}}}

{{{-x^2+1=x^2-1}}}

{{{2=2x^2}}}

{{{x^2=1}}}

{{{x=-1}}}, and {{{x=1}}}

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For x=-1,
{{{y=-1+1-1-1}}}
{{{y=-1}}}
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For x=1,
{{{y=1+1+1-1}}}
{{{y=2}}}
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The two intersection points are  (-1,-1) and (1,2).