The composition of function g with function f is written as
Function composition is not commutative since f (g(x)) does not always equal g( f(x)).
GRIDDED RESPONSE
Let
Method 1
Which function is substituted into the other?
Use f(x) as the input for g.
Method 2
You have a coupon good for $5 off the price of any large pizza. You also get a 10% discount on any pizza if you show your student ID. How much more would you pay for a large pizza if the cashier applies the coupon first?
Know | Need | Plan |
---|---|---|
The coupon value and the discount rate | The difference between the results of applying the discount or coupon first |
|
Step 1
Find functions C and D that model the cost of a large pizza.
Let
Cost using the coupon:
Cost using the 10% discount:
Step 2
Compose the functions to apply the discount and then the coupon.