Question

I am confused as to what this question is asking

Answer 1

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}`

alternative B.

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}`

Answers:

a. 35.99

b. 4.68