Respuesta :
Using translation concepts, it is found that an horizontal compression of [tex]y = \frac{1}{x}[/tex] is found in the following function:
[tex]y = \frac{1}{6x}[/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.
In a function, a horizontal compression is found when x in the domain is multiplied by a constant greater than 1, that is, g(x) = f(ax), a > 1.
Hence, for [tex]y = \frac{1}{x}[/tex], the pure horizontal compression is:
- [tex]y = \frac{1}{6x}[/tex].
More can be learned about translation concepts at https://brainly.com/question/4521517
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