Answer:
6 Dollars.
Step-by-step explanation:
A toolset sells for $150 at a local hardware store. The toolset is on sale for 20% off the retail price, p, given by f(p) = 0.80p. Devon is interested in buying the toolset and has a coupon for $30 off the price of the toolset, which can be represented by g(p) = p – 30.
Therefore, the cost of using the coupon followed by the discount,
f[g(p)] = 0.80(p - 30) = 0.80(150 - 30) = 96 dollars.
And the cost of using the discount followed by the application of the coupon,
g[f(p)] = 0.80p - 30 = 0.80 × 150 - 30 = 90 dollars.
Therefore, the difference between f[g(p)] and g[f(p)] is (96 - 90 ) = 6 dollars. (Answer)
