Which is the composite function for the price a loyalty
member would pay based on the original price, x?
ne
An
C(L(x)) = 2.7800x
O C(L(x)) = 0.9180x
O C(L(x)) = 0.7803x
C(L(x)) = 0.7225x

Answer :

MrRoyal

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]

Cricetus

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.

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https://brainly.com/question/5614233

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