The function f(x) = |x| + 5 undergoes horizontal shrinking by a factor of 3 to get; f(x) = |¹/₂x| + 5
There are different ways of transforming a function such as dilation, translation, reflection, stretching, shrinking e.t.c
Now, To stretch or shrink the graph in the y direction, what needs to be done is to multiply or divide the output by a constant. Now, f(2x) simply means that the function f(x) is stretched in the x direction by a factor of 2,. Meanwhile, f(¹/₂x) means that the function f(x) is shrunk in the x direction by a factor of 2 (or stretched by a factor of ¹/₂).
Now, we are told that the function f(x) = |x| + 5 undergoes horizontal shrinking by a factor of 3. Applying the above rule for shrinking gives us;
f(x) = |¹/₂x| + 5
Read more about Shrinking Transformation at; https://brainly.com/question/13860421
#SPJ1