The value of the function f(x) and g(x), obtained from the graph indicates;
(a) x = -1, 3
(b) (-∞, -1] ∪ [3, ∞)
(c) (-∞, -1) ∪ (3, ∞)
The steps used to evaluate the functions in the graph are as follows;
(a) The solution to the system of equation obtained from the graph are;
x = -1, and x = 3
(b) The graphs of the functions f(x) and g(x) indicates that at the point the graphs of the functions intersect, (3, 5), the slope of the function ∪ shaped function, f(x) is larger than the slope of the straight line function g(x) which is constant, such that f(x) is larger than g(x) for each x-value ≥ 3
The value of f(x) is also larger than or equivalent to g(x) in the interval (-∞, -1]
Therefore; f(x) ≥ g(x) (-∞, -1] ∪ [3, ∞)
(c) The function f(x) is larger than g(x) at the interval (-∞, -1) and (3, ∞), therefore; f(x) ≥ g(x) (-∞, -1) ∪ (3, ∞)