Sally salesperson sells shoes part time at a super shoes in the south street mall. she earns a 2% commission on total sale over $5000, which is paid as a bonus at the end of the year. let her total sales be represented by x. f(x) = x - 5000 and g(x) = 0.02x which composition of the functions would calculate her bonus at the end of the year ?

The composition of the functions is g(f(x))

Step-by-step explanation:

* Lets revise what is the meaning of composite functions

- A composite function is created when one function is substituted into

  another function

- Ex: f(g(x)) is the composite function formed when g(x) is substituted for

  x in f(x)

* Lets solve the problem

- Sally earns a 2% commission on total sale over $5000

- Which is paid as a bonus at the end of the year

- Let her total sales be represented by x

- f(x) = x - 5000 and g(x) = 0.02 x

- We need to find the suitable composite function which represents her

   bonus at the end of the year

∵ She earns a 2% commission on total sale over $5000

∵ Her total sale is $x

- At first subtract from x the $5000, then multiply the answer by 2%

- That mean she earns 2% of (x - 5000)

∵ 2% = = 0.02

∴ She earns 0.02(x - 5000)

- Lets find the composite functions which give us 0.02(x - 5000)

∵ f(x) = x - 5000

∵ g(x) = 0.02 x

- Substitute x in g(x) by f(x)

∴ g(f(x)) = 0.02 (x - 5000)

* The composition of the functions is g(f(x))

answer:   n ≤ -3 or n < -5

step-by-step explanation:

-5 + 2n ≥ -11

+5             +5

2n ≥ -6

2/2 ≤ -6/2

n ≤ -3

-6 - 10n > 44

+6           +6

-10n > 50

-10/-10 50/-10

n < -5

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23