Answer:


Step-by-step explanation:
<u>Composite Function</u>
Suppose f(x) and g(x) are real functions, the composite function named
is defined as:

The composite function can be found by substituting g into f.
We are given these functions:



Find:
a) h(g(x))
Substituting g into h:

b) h(g(f(x))
First we find g(f(x)):

Operating:

Simplifying:

Now find h(g(f(x)) replacing the above equation into h:

Simplifying and rearranging:

