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14 March, 03:32

You work forty hours a week at a furniture store. You receive a 1,200 dollar weekly salary, plus a 4.1% commision on sales over 12,000 dollars. Assume that you sell enough this week to get the commission. Given the functions f (x) = 0.041x and g (x) = x ̆12,000, which of (fog) (x) and (gof) (x) represents your commission?

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  1. 14 March, 06:34
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    If you call x the total value of the sales, the sale over 12,000 will be: g (x) = 12,000 - x.

    And the commission is 4.1% of that = 0.041 * (12,000 - x) = 0.041 * g (x)

    So, if f (x) = 0.041x, to calculate the commission you first have to calculate g (x) = 12,000 - x, and the f (g (x)) = 0.041[12,000 - x].

    Which leads you to the solution for the commission as [f o g] (x) = f (g (x)) = 0.041 (12,000 - x).

    Answer: [ f o g] (x)
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