Respuesta :
Using translation concepts, it is found that function g(x) is defined by:
[tex]g(x) = \left|\frac{x}{5}\right|[/tex]
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The absolute value parent function is defined by:
f(x) = |x|
When it is strecthed horizontally by a factor of 5, it means that the domain is divided by 5, hence the function is given by:
[tex]g(x) = \left|\frac{x}{5}\right|[/tex]
More can be learned about translation concepts at https://brainly.com/question/4521517
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