Question

Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0.8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1.12p. Using this information, which of the following represents the final price of a gaming system with the discount and taxes applied?

c(p) + p(g) = 1.92g
c[p(g)] = 0.896g
g[c(p)] = 1.92p
c(p) ⋅ p(g) = 0.896pg

Answer 1

@triciaal @mathstudent55 @welshfella

Answer 2

p(g) gives you the discounted price.
You need to apply function p first.

Then c(p) gives you the final price after the tax is added to the discounted price. You apply function c after function p.

Answer 3

start with the original price and take the 20% off . this is now the "x" to use to figure the taxes

Answer 4

That means you need:
c(p(g))

Answer 5

First, let's write c(p)

Answer 6

ok

Answer 7

Now to find c(p(g)), you replace p(g) by what the function p(g) is equal to.