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