the horizontally shrunk function by a scale factor K = 3 is modeled by:
g(x) = |3*x| + 5
For any function f(x), we define a horizontal shrink or compression by a scale factor K as:
g(x) = f(K*x)
In this case the function is:
f(x) = |x| + 5
And the scale factor is K = 3.
Then we can write the compression as:
g(x) = f(3*x)
Replacing the actual function we will get:
g(x) = f(3*x) = |3*x| + 5
Then the horizontally shrunk function by a scale factor K = 3 is modeled by:
g(x) = |3*x| + 5
If you want to learn more about compressions:
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