Notice also that there’s a difference between f(g(x)) and f(x)g(x). In the former
expression, a hierarchy is indicated: The function g is inside the parentheses
of function f, so you apply g first, and then you apply f to the result. In the
expression f(x)g(x), however, the two functions are written side by side, which
indicates multiplication. You apply the function f to 2, and you apply the
function g to 2, and then you multiply the results:
So when it comes to functions, be sure to pay close attention to order and
parentheses.
WATCH THOSE PARENTHESES
When it comes to functions, pay close attention to order and
parentheses.MAXIMUMS AND MINIMUMS
Another typical functions question is one that asks for a minimum or, as in
Example 3, maximum value of a function.