Question

At which point do the equations f(x) = 3x² + 5 and g(x) = 4x + 4 intersect?

A) (1, 9)
B) (-1, -1)
C) (0, 4)
D) (2, 13)

Answer 1

The intersection point of the equations f(x) = 3x² + 5 and g(x) = 4x + 4 is (1, 9).

Step-by-step explanation:

To find the intersection point of the equations f(x) = 3x² + 5 and g(x) = 4x + 4, we need to set the two equations equal to each other:

3x² + 5 = 4x + 4

Now, we can solve this equation for x:

3x² - 4x + 1 = 0

This is a quadratic equation that can be factored as (x - 1)(3x - 1) = 0. Therefore, the intersection point is (1, 9), which corresponds to option A.