First, we need to define the subfunctions that make up the composite function. These sub-functions can be realized by using the math library in Python or defined by themselves. For example, if we define a compound function f (x) = cos (e x), then we can define the subfunction f 1 (x) = e x, and f2(x) = cos(x).

Then, we can use the lambda function in Python to define the compound function f (x) = cos (e x). Lambda function is an anonymous function that can be used to define simple functions. For example, we can use the following code to define the compound function f (x) = cos (e x):

Import and export from mathematics, cos

f =λx:cos(exp(x))

Finally, we can use functions in Python to calculate the range of composite functions. For example, we can use the following code to calculate the value of function f (x) = cos (e x) when x = 1:

x = 1print(f(x))

Note that the above code is for reference only, the specific implementation may be different, and the code should be designed according to specific topics.