Question

ray is purchasing a laptop that is on sale for 25% off. he knows the function that represents the sale price of his laptop is c(p) = 0.75p, where p is the original price of the laptop. he also knows he has to pay 8% sale's tax on the laptop. the price of the laptop with tax is f(c) = 1.08c, where c is the sale price of the laptop. determine the composite function that can be used to calculate the final price of ray's laptop by solving for f[c(p)]. f[c(p)] = 1.83p f[c(p)] = 1.83cp f[c(p)] = 0.81p f[c(p)] = 0.81cp

Answer 1

f[c(p)] = 0.81p. I hope this helps :) Please give me a rate and thanks :P

Answer 2

f[c(p)]= 0.81p

Explanation:

Given function that shows the the sale price of his laptop,

c(p) = 0.75p ----(1),

While, the function that shows the final price of laptop after sales tax,

f(c) = 1.08c

⇒ f[c(p)] = 1.08c(p) ( c is the function of p so c can be replace by c(p) )

⇒ f[c(p)] = 1.08(0.75p) ( From equation (1) )

⇒ f[c(p)]= 0.81p

Which is the required composite function.