Example 3

Paul works 40 hours a week at an electronics store. He receives a weekly salary of $500, plus a 5% commission on his sales of more than $2,000. Last week, Paul sold enough to earn his commission. Given the functions [math]f(x) = 0.05x[/math] and [math]g(x) = x – 2000[/math], where [math]x[/math] represents the total amount of sales, which composition function represents his commission, [math](f ∘ g)(x)[/math] or [math](g ∘ f)(x)[/math]? Use [math]x = 3000[/math] to verify the results.

 

Walch Education

 
Resource Type
Activity
Tags
composition  composition-of-functions  function  real-world 
Target Group (Age)
14 – 18
Language
English
 
 
 
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