Answer :
Answer:
[tex](d)\ L(S(x)) = 0.7225x[/tex]
Step-by-step explanation:
Given
[tex]S(x) = 0.85x[/tex] ----- Sales price
[tex]L(S) = 0.85S[/tex] ---- Loyalty member discount
Required
This is represented as: L(S(x))
So, we have:
[tex]L(S) = 0.85S[/tex]
Substitute S for S(x)
[tex]L(S(x)) = 0.85S(x)[/tex]
Substitute [tex]S(x) = 0.85x[/tex]
[tex]L(S(x)) = 0.85*0.85x[/tex]
[tex]L(S(x)) = 0.7225x[/tex]
The composite function for the price a loyalty member will be "C(L(x)) = 0.7225x".
According to the question,
- Sales price, [tex]S(x) = 0.85 x[/tex]
- Loyalty member discount, [tex]L(S) = 0.85S[/tex]
By substituting the "S" for "S(x)", we get
→ [tex]L(S(x)) = 0.85 S(x)[/tex]
By substituting the value of "S(x)", we get
→ [tex]L(S(x)) = 0.85\times 0.85 x[/tex]
→ [tex]= 0.7225 x[/tex]
Thus the above answer is right.
Learn more about composite function here:
https://brainly.com/question/5614233