Answer:
functions f(x) and g(x) share one root in common that of x=2 and each have another different root
Step-by-step explanation:
Notice that function g(x) has for roots the values x = -1 and x = 2, (these are the crossings of the x axis that you see in the graph)
On the other hand, the function f(x) has two roots that are obtained by factoring it out:
[tex]f(x)=x^2+x-6\\f(x)= x^2-2x+3x-6\\f(x)=x(x-2)\,+\,3(x-2)\\f(x)=(x-2)\,(x+3)[/tex]
Therefore it has roots at x=2 and x= -3
So functions f(x) and g(x) share one root in common that of x=2 and each have another different root
