SOLUTION: hey again need formula to find interception points for f(x)=3(x-1)^2-1 and g(x)=3x-1 just equation's god thnx!

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Question 928013: hey again need formula to find interception points for f(x)=3(x-1)^2-1 and g(x)=3x-1 just equation's god
thnx!
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
What x value or values will give value of f and value of g to be equal?
Set f%28x%29=g%28x%29, and solve for x; and you may expect up to two values. Find the corresponding values for f or g.

3%28x-1%29%5E2-1=3x-1
3%28x%5E2-2x%2B1%29-1=3x-1
3x%5E2-6x%2B3=3x-1
3x%5E2-9x%2B4=0
x=%289%2B-+sqrt%2881-4%2A3%2A4%29%29%2F6
x=%289%2B-+sqrt%2833%29%29%2F6

POINTS
y=3x-1
y=3%289-sqrt%2833%29%29%2F6-1
%281%2F2%29%289-sqrt%2833%29%29-1
9%2F2-sqrt%2833%29%2F2-2%2F2
7%2F2-sqrt%2833%29%2F2
highlight%28x=3%2F2-sqrt%2833%29%2F6%29
highlight%28y=7%2F2-sqrt%2833%29%2F2%29
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y=3%289%2Bsqrt%2833%29%29%2F6-1
highlight%28y=7%2F2%2Bsqrt%2833%29%2F2%29, highlight%28x=9%2Bsqrt%2833%29%2F6%29