Question

Juan Carlos graphs the functions f(x)=5x-2 and g(x)=-5x+2 Part A: At what point will the graphs of these functions intersect?Part B: What is the solution to the equation f(x) = g(x)?1

Answer 1

Answer:

The point of intersection is (0.4, 0)

Explanations:

f(x) = 5x - 2

g(x) = -5x + 2

The points of intersection of two graphs can be calculated by the following steps:

To get the x - coordinate, equate the two functions, f(x) and g(x)

f(x) = g(x)

5x - 2 = -5x + 2

5x + 5x = 2 + 2

10x = 4

x = 4/10

x = 0.4

Substitute the value of x, that is, x = 0.4 to f(x) and g(x)

f(x) = 5x - 2

f(x) = 5(0.4) - 2

f(x) = 2 - 2

f(x) = 0

g(x) = -5x + 2

g(x) = -5(0.4) + 2

g(x) = -2 + 2

g(x) = 0

The point of intersection is (0.4, 0)