Pre-Calc Math Term Comic

Pre-Calc Math Term Comic

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  • You may have heard of composition of functions in math, but did you know they also have real world applications?
  • f(g(x))
  • (f o g)(x)
  • h(c(x))
  • Say you work as a car salesman and you make a base salary plus commission on the cars you sell. You can use composition of functions to figure how much you'll make.
  • But first you need the info. So let's say you make 1% commission of all your sales for the month plus a $2000 a month base salary.
  • g(x) = x + 2000
  • f(x) = .01x
  • Now you have to combine the functions. But is it f(g(x)) or g(f(x))? Once you have the answer you can create a composite function.
  • ?
  • In order to represent your monthly pay, you need to use g(f(x)). That is because you don't get .01 of your sales and $2000, you get .01 of your sales and and an added $2000. 
  • g(f(x))=    .01x   +   2000
  • Now as a car salesman you can figure out how much you'll make at the end of the month and plan ahead!
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