Respuesta :
The composite functions of the model taking the 20 % discount and then the 15 % discount is (D ◦ E)(x) = 0.68x.
What is meant by function composition?
In mathematics, function composition is an operation in which two functions, f and g, generate a new function, h, in such a way that h(x) = g(f(x)). This means that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Define fog, the composition of f and g, as (fog)(x) = f(g(x)) for functions f and g. g should be applied to x. If fog(x) = x and gof (x) = x for all x values in the domain of f and g, then they are inverse functions.
In math, the domain (the x-values) of one function becomes the range (the y-value answers) of the next function. Composition notation is as follows: (f o g)(x) = f(g(x)) and exists read “f composed with g of x” or “f of g of x”.
Let D(x) = cost after applying the 15% discount,
E(x) = cost after applying the 20% employee discount, and x = cost of item(s).
Then D(x) = 0.80x and E(x) = 0.85x.
(D ◦ E)(x) = 0.68x.
To learn more about function composition refer to:
brainly.com/question/20759060
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