Final answer:
If the function f(x) = x² is horizontally compressed, the equation of the compressed function, g(x), can be obtained by replacing the variable x with a compressed form of x in the original function.
Step-by-step explanation:
If the function f(x) = x² is horizontally compressed, the equation of the compressed function, g(x), can be obtained by replacing the variable x with a compressed form of x in the original function.
To horizontally compress a function, we divide x by a constant, which is greater than 1. Therefore, the equation of g(x) would be g(x) = (x/c)², where c is the compression factor.
For example, if the compression factor is 2, the equation of g(x) would be g(x) = (x/2)².