Composite and Constant Functions

Recall that constantfunctions give the same number as the result, no matter what number is put in. For instance k(x)=5 will always result in a 5.

Let's use k(x)=5 and f(x)=3x+1 and see what happens when a constant function is combined with another function.

1. The composite function f(k(x)) would be:

f(k(x)) = 3•(k(x)) + 1
            = 3•(5) +1
            = 16

Because k(x) generates a number, the output of f(k(x)) is also a number.

2. The value of the composite function k(f(x)) would be 5! No matter what value is inputted (even another function), k(x) will always result in 5.

k(f(x)) = 5
k(3x+1) = 5