Question

Kate and Stella both worked at the coffee shop today. Kate's total cups of coffee made is represented by f(x); and Stella'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) = 6x − 8

g(x) = 3x + 1

Answer 1

its 9x-7

Explanation:

Answer 2

The function that represents the total cups of coffee they made today is
`h(x)=9x-7`.

Explanation:

The given function are

`f(x)=6x-8`

`g(x)=3x+1`

Where, Kate's total cups of coffee made is represented by f(x) and Stella's total cups of coffee made is represented by g(x).

The total cups of coffee they made today is represented by the function

`h(x)=f(x)+g(x)`

Substitute the value of functions.

`h(x)=6x-8+3x+1`

Combine like terms.

`h(x)=(6x+3x)+(-8+1)`

`h(x)=9x-7`

Therefore the function that represents the total cups of coffee they made today is h(x)=9x-7.