Question 928013
What x value or values will give value of f and value of g to be equal?
Set {{{f(x)=g(x)}}}, and solve for x; and you may expect up to two values.  Find the corresponding values for f or g.


{{{3(x-1)^2-1=3x-1}}}
{{{3(x^2-2x+1)-1=3x-1}}}
{{{3x^2-6x+3=3x-1}}}

{{{3x^2-9x+4=0}}}

{{{x=(9+- sqrt(81-4*3*4))/6}}}
{{{x=(9+- sqrt(33))/6}}}


POINTS

{{{y=3x-1}}}
{{{y=3(9-sqrt(33))/6-1}}}
{{{(1/2)(9-sqrt(33))-1}}}
{{{9/2-sqrt(33)/2-2/2}}}
{{{7/2-sqrt(33)/2}}}
{{{highlight(x=3/2-sqrt(33)/6)}}}
{{{highlight(y=7/2-sqrt(33)/2)}}}
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{{{y=3(9+sqrt(33))/6-1}}}
{{{highlight(y=7/2+sqrt(33)/2)}}}, {{{highlight(x=9+sqrt(33)/6)}}}