Final answer:
The functions f(x) = cos(x) and g(x) = cos(3x) are both cosine functions, but g(x) has a higher frequency than f(x), resulting in a faster oscillation.
Step-by-step explanation:
The functions f(x) = cos(x) and g(x) = cos(3x) are both cosine functions, but their inputs differ. The function f(x) has an input of x, while the function g(x) has an input of 3x. This means that the graph of g(x) will have a higher frequency than the graph of f(x), resulting in a faster oscillation. In other words, g(x) will have three times as many cycles as f(x) for the same interval of x. However, the shape of the functions remains the same.