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A mattress store is having a 50% off sale. The store charges a 4.5% sales tax. A function for the sale price is f(p) = 0.5p, where p is the original price. The total price for a given sale is modeled by the function g(s) = 1.045s. Which is the composition of functions that represents the total price for a given sale as a function of the original price, p?

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amna04352

Answer:

gf(p) = 0.5225p

Step-by-step explanation:

f(p) = 0.5p is the sale price.

g(s) = 1.045s is the amount to be paid.

1.045(0.5p) = 0.5225p

Which is substituting 's' by '0.5p'

Or 's' by f(p) in g(s)

Which gives:

g(f(p)) = gf(p)

gf(p) = 0.5225p

f(p) = 0.5p is the sale price.

g(s) = 1.045s is the amount to be paid.

1.045(0.5p) = 0.5225p

➡️Which is substituting 's' by '0.5p'

Or 's' by f(p) in g(s)

Which gives:

g(f(p)) = gf(p)

gf(p) = 0.5225p

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