Activity - Composite Functions

# Let k equal the number of people ranata kills in a

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Let k equal the number of people Ranata kills in a given month. Let m be the amount of money she is paid that month, in dollars. Let b be the number of \$20 bills she gets. a. Write a function m(k) that tells how much money Ranata makes, in a given month, as a function of the number of people she kills. b. Write a function b (m) that tells how many bills Ranata gets, in a given month, as a function of the number of dollars she makes. c. Write a composite function b (m(k))b that gives the number of bills Ranata gets, as a function of the number of people she kills. d. If Ranata kills 5 men in a month, how many \$20 bills does she earn? First, translate this question into function notation and then solve it for a number. e. If Ranata earns 100 \$20 bills in a month, how many men did she kill? First, translate this question into function notation and then solve it for a number. Exercise 4 Make up a problem like exercises #2 and #3. Be sure to take all the right steps: define the scenario, define your variables clearly, and then show the functions that relate the variables. This is just like the problems we did last week, except that you have to use three variables, related by a composite function.

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Exercise 5 f (x) =. g (x) = x 2 + x . a. f (7) = b. g (7) = c. f (g (x)) = d. f (f (x)) = e. g (f (x)) = f. g (g (x)) = g. f (g (3)) = Exercise 6 If h(x) = x 5 and h(i(x)) = x. Can you find what function i(x) is, to make this happen?
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