## anonymous one year ago 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

1. anonymous

@freckles can you help me with this one?

2. freckles

just find c(p(g))

3. freckles

it is just another composition function question

4. anonymous

So the answer is B?

5. freckles

by the way this is the way I figured it out... we are given let's say g g is on sale for 20\$ off the original price so that is g - g(.2) which is g(1-.2)=g(.8) Ok now this is the price of the game .8g before going into taxes taxes is 12% you have to paid for the game plus taxes so (.8g)+(.8g)*.12 factoring (.8g)(1+.12)=.8g(1.12) and then you can do .8 * 1.12 to simplify further

6. freckles

and yes that is the only choice that matches

7. anonymous

I understand now