Based on the graph, what is one solution of the equation f(x) = g(x)?

graph of function f of x equals negative x plus one half and graph of function g of x equals x squared plus 3 multiplied by x minus 4

x = 1
x = −5
x = −4
x = −0.5

x=1

x=-5

Step-by-step explanation:

we know that

The solution of the system of equations is the intersection point both graphs

In this problem there are two intersection points

so

The system has two solutions

we have

one solution is the point (-4.9, 5.4) and the other (0.92, -0.42)

see the attached figure

therefore

x=1

x=-5

10 down (bang1)

5 up

5down (2)

2.5 up

2.5 down (3)

1.25 up

1.25 down (4)

now add them up : )

hoped i lol