Question

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

graph of function f of x equals negative x plus 0.5 and graph of function g of x equals x squared plus 3 multiplied by x minus 4

x = −4 and x = 1
x = −5 and x = 0.9
x = −4 and x = 0.5
x = −5 and x = −0.5

Answer 1

Answer:
x = −4 and x = 1

Step-by-step explanation:
The two formula's given are:
f (x) = -x+0.5 and g (x) = x²+3x-4

By graphing the two in a graphing tool or graph paper we can find the solutions by looking at the points of intersection and taking the x values of those two points of intersection.

Looking at the graph below:
x=-4 and x=1 are the solutions to the problem.