The function that models the horizontal shink of f(x) by a scale factor k = 3 is:
g(x) = |3*x| + 5
Here we want to apply a transformation to a given function where the transformation is a shrink.
For a function f(x), a horizontal shrink (or compression) of scale factor K is written as:
g(x) = f(k*x)
In this case we have the absolute value function:
f(x)= |x| + 5
And we want to apply an horizontal shrink of scale factor k = 3, so we will have a new function defined as:
g(x) = f(3*x)
If we replace f(x) by the function above we will get:
g(x) = f(3*x) = |3*x| + 5
So we conclude that the transformed function is just:
g(x) = |3*x| + 5
If you want to learn more about transformations:
https://brainly.com/question/4289712
#SPJ1