Madden and jenn both worked at the coffee shop today. madden's total cups of coffee made is represented by f(x); and jenn's total cups of coffee made is represented by g(x). use the functions below to write a function that represents the total cups of coffee they made today.
f(x) = 7x − 4
g(x) = 5x + 1
9x + 5
9x − 3
12x + 5
12x − 3

The total number of cups of coffee is 12x - 3 ⇒ last answer

Step-by-step explanation:

- Madden and Jenn both worked at the coffee shop today

- Madden's total cups of coffee made is represented by f(x) = 7x - 4

- Jenn's total cups of coffee made is represented by g(x) = 5x + 1

- We want to write a function represents the total cups of coffee they

 made together

∵ f(x) represents the number of cups of coffee that Madden made

∵ f(x) = 7x - 4

∵ g(x) represents the number of cups of coffee that Jenn made

∵ g(x) = 5x + 1

- To find the total cups they made together we will add the two

  functions f(x) and g(x)

∵ f(x) + g(x) = (7x - 4) + (5x + 1)

- Add like terms

∴ f(x) + g(x) = (7x + 5x) + (-4 + 1)

∴ f(x) + g(x) = 12x + (-3)

-Remember (+)(-) = (-)

∴ f(x) + g(x) = 12x - 3

* The total number of cups of coffee is 12x - 3