Question

the regular price of a computer is x dollars. let f(x)=x - 240 and g(x)=0.75x. a. describe what the functions f and g model in terms of the price of the computer. the function f gives the price of the computer after a $240 discount. the function g gives the price of the computer after a 25% discount. b. find (f ∘ g)(x) and describe what this models in terms of the price of the computer. (f ∘ g)(x)=

Explanation:

Step1: Recall the definition of function - composition

The composition \((f\circ g)(x)=f(g(x))\).

Step2: Substitute \(g(x)\) into \(f(x)\)

Given \(f(x)=x - 240\) and \(g(x)=0.75x\), then \(f(g(x))=0.75x-240\).

Answer:

\(0.75x - 240\)
This function models the price of the computer after first applying a 25% discount and then applying a \(\$240\) discount.