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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.