1 Answer

Andrew Gustar · Answer 1 · 2023-01-28T02:28:29+0000

Hello!

First, let's rewrite the functions below:

$\begin{gathered} g(x)=0.90x \\ f(x)=0.13x \end{gathered}$

alternative A.

We can write it as a composite of 2 functions, look:

$\begin{gathered} f(g(x))=0.13\cdot(0.90x) \\ f(g(x))=0.117x \end{gathered}$

First we have to calculate the 10% of discount using the function:

$\begin{gathered} g(x)=0.90x \\ g(39.99)=0.90\cdot(39.99) \\ g(39.99)\approx35.99 \end{gathered}$

Then, we have to use the other function f(x):

$\begin{gathered} f(x)=0.13x \\ f(35.99)=0.13\cdot(35.99) \\ f(35.99)\approx4.68 \end{gathered}$

a. 35.99

b. 4.68