Amount of money earned per number of hours of work =
- A composite function is generally a function that is written inside another function.
- Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”.
To evaluate a composite function f(g(x)) at some x = a, first compute g(a) by substituting x = a in the function g(x). Then substitute g(a) into the function f(x) by substituting x = g(a). In the same way, we can calculate g(f(a)) as well.
Required calculation -
Amount of money (the earning) per unit x =
Number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works =
we are to find the composite function
Substituting g(x) into the x of f(x), we find:
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