Question

The function f(x) = 6x + 6 represents the amount of money Kristine earns making custom t-shirts. The function g(x) = x − 1 represents her upfront costs. Find (f – g)(4) to determine how much profit she will make from four t-shirts.

$27
$10
$30
$33

Answer 1

The profit Kristine will make from four t-shirts is $27

Step-by-step explanation:

Given that the function $f(x)=6x+6$ and $g(x)=x-1$.

To determine how much profit Kristine will make from four t-shirts is to find $(f-g)(4)$

Assign the function $f=6x+6$ in $(f-g)(4)$

$(f-g)(4)=(6x+6-g(x))(4)$

Now, assign the function $g=x-1$ in $(f-g)(4)$

$(f-g)(4)=(6x+6-(x-1)(4)$

Simplifying the above equation, we get,

$\begin{aligned}(f-g)(4) &=(6 x+6-x+1)(4) \\&=(5 x+7)(4)\end{aligned}$

Now, Substitute $x=4$ , we get,

$\begin{aligned}(f-g)(4) &=(5(4)+7) \\&=20+7 \\&=27\end{aligned}$

Thus, the value of $(f-g)(4)$ is 27.

Hence, the profit Kristine will make from four t-shirts is $27.

Answer 2

Answer:

27 bucks

Step-by-step explanation: