Question

The regular price of a pair of jeans is x dollars. Let f(x) = x − 15, where f represents the price of the jeans discounted by $15. Let g(x) = 0.8timesx represent the price of the jeans discounted by 20%. Use composition to find the price of the jeans if they are first discounted by 20%, then by $15.

Answer 1

\(\large \begin{array}{ccllll}
f(x)=x-15&g(x)=0.8x\\
\uparrow &\uparrow \\
\textit{discounted by 15}&\textit{discounted by 20}\%
\\ \quad \\ \quad \\

f(\quad g(x)\quad )&\leftarrow \textit{first discounted by 15, then 20}\%

\end{array}\)

Answer 2

hmmm actually should be ...20% first and then 15, thus

Answer 3

\(\large \begin{array}{ccllll}
f(x)=x-15&g(x)=0.8x\\
\uparrow &\uparrow \\
\textit{discounted by 15}&\textit{discounted by 20}\%
\\ \quad \\ \quad \\

g(\quad f(x)\quad )&\leftarrow \textit{first discounted by 20}\% \textit{ then 15}\

\end{array}\)

Answer 4

hmmm I take that back =( so \(\large \begin{array}{ccllll}
f(x)=x-15&g(x)=0.8x\\
\uparrow &\uparrow \\
\textit{discounted by 15}&\textit{discounted by 20}\%
\\ \quad \\ \quad \\

f(\quad g(x)\quad )&\leftarrow \textit{first discounted by 20}\% \textit{ then 15}\

\end{array}\)

Answer 5

aha which is it:p

Answer 6

@jdoe0001 would this be a then?

Answer 7

well... what's f( g(x) )?

Answer 8

.8z-15?

Answer 9

@Loser66