SOLUTION: Hello! I need to find algebraically the point where the curves cross. I don't understand how to do it. The functions I have are f'(x)= 12x-1 and g'(x) = 2x. Thank you.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Hello! I need to find algebraically the point where the curves cross. I don't understand how to do it. The functions I have are f'(x)= 12x-1 and g'(x) = 2x. Thank you.      Log On


   

Question 921512: Hello!
I need to find algebraically the point where the curves cross. I don't understand how to do it. The functions I have are f'(x)= 12x-1 and g'(x) = 2x.
Thank you.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
They cross where the two functions' values are equal.

They meet or cross if f%28x%29=g%28x%29;
12x-1=2x
10x-1=0
10x=1
x=1%2F10

The vertical coordinates will also be equal where g and f intersect, so use either function to evaluate this vertical axis component.

g%28x%29=2x
g%281%2F10%29=2%281%2F10%29
g%281%2F10%29=1%2F5

The intersection point for f and g is ( 0.10, 0.20 ).