By the knowledge on absolute values, functional theory and rigid transformations and given that the function f(x) = |x|, the function g(x) = f(x - 4) is equal to |x - 4|.
How is a second function in comparison with a given one?
According to the image attached herein, the function f(x) is an absolute value and the function g(x) results from translating f(x) in +x direction, representing a kind of rigid transformation as Pythagoran distance at every point of the function is conserved.
There, we can define the function g(x) as follows:
g(x) = f(x - k), for k > 0 (1)
By the knowledge on absolute values, functional theory and rigid transformations and given that the function f(x) = |x|, the function g(x) = f(x - 4) is equal to |x - 4|.
To learn more on absolute values: https://brainly.com/question/1301718
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