Question

Jim uses the function f(x) = 0.7x + 23 to determine the amount he charges for each used

drone he sells, where x is the original value of the drone. The function g(x) = 1.08x is used to
determine the amount a customer pays for a drone at Jim’s store including 8% sales tax.
Write a function to determine the total amount a customer pays for a used drone at Jim’s
store including 8% sales tax.

Answer 1

Answer: Our required function be

`0.756x+24.84`

Explanation:

Since we have given that

`f(x)=0.7x+23`

where x is the original value of the drone.

So,
`g(x)=1.08x`

the above function is used to determine the amount a customer pays for a drone at Jim's store including 8% sales tax.

So, we will find a function to determine the total amount a customer pays for a used drone at Jim's store including 8% sales tax.

`gof(x)=g(f(x))=1.08(0.7x+23)\\\\g(f(x))=0.756x+24.84`

Hence, our required function be

`0.756x+24.84`

Answer 2

Each used drone is sold at a cost of f(x) = 0.7x + 23 dollars. A customer also has to pay 8% sales tax on that cost. The function g(x) = 1.08x gives us the final cost of a used drone including the tax. So we'll apply the g(x) upon the f(x) to get the final cost for each drone. It would be

g(f(x)) = 1.08(0.7x + 23)
= 0.756x + 24.84

So the answer is h(x) = 0.756x + 24.84