Approximate,to three decimal places,the x-value of the point of intersection of the graphs of f(x)and g(x).Round your answer to three decimal places.
A) 0.572
B) 0.517
C) 0.562
D) 0.567
E) 0.617

Question

Approximate,to three decimal places,the x-value of the point of intersection of the graphs of f(x)and g(x).Round your answer to three decimal places. ​    ​
A) 0.572 
B) 0.517 
C) 0.562 
D) 0.567 
E) 0.617

Quizplus · Accepted Answer

To find the point of intersection, we need to solve the equation f(x) = g(x). 
Setting the two equations equal to each other, we get:

3x^3 - 6x^2 + 3x - 1 = x^3 - 2x^2 + x

Simplifying, we get:

2x^3 - 4x^2 + 2x - 1 = 0

Using a calculator or software, we can find that the root of this equation is approximately 0.567. Therefore, the best choice is D.

Approximate,to Three Decimal Places,the X-Value of the Point of Intersection