Respuesta :

Answer:

option C.

Step-by-step explanation:

roots of a function are the values of x for which the corresponding value of f(x) is 0.

since f(x) is being plot on the y axis it's value being zero signifies the intersection of the curve with the x axis.

so the roots of g(x) are :-

2, and 10

for roots of f(x) :-

f(x) = 0

x² - 9 = 0

(x+ 3)(x - 3) = 0

either x = 3 or x = -3

so the roots of f(x) are

3, and -3

Comparing their roots one can very well see both the functions share no roots in common.

Option c is the answer hope it helps