let x represent the regular price of a book
B).give a function g that represent the price of a book if a 10% price discount applies
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let x represent the regular price of a book
B).give a function g that represent the price of a book if a 10% price discount applies
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f(x) = x - 100
g(x) = 0.9x
(f o g)(x) is a better deal
Step-by-step explanation:
From the given we can define the two functions:
f(x) = x - 100
g(x) = (1 - 0.1)(x) = 0.9x
(f o g)(x) = f(g(x)
f(g(x)) = f(0.9x) = 0.9x - 100
(g o f)(x) = g(f(x)
g(f(x)) = g(x - 100) = 0.9(x - 100) = 0.9x - 90
Since the first composition subtracts more from the price, that means (f o g)(x) is a better deal for the customer.