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? g[c(p)] = 0. 896g c[p(g)] = 0. 896g g[c(p)] = 1. 92p c[p(g)] = 1. 92p.

Answer 1

Final price of gaming system, with the discount 20% and taxes 12% applied is represented by composite function as,

$c[p(g)] =0.896p$

What is composite function?

Composite function is the function in which the one function is dependent on the other function. The one function is written inside the other function to show the such relationship between the two function.

Given information-

The sale on the gaming system are of 20 percent.

The total local tax on the discounted price is 12%.

The function which expressed the sale on gaming system is,

$p(g) = 0. 8g$

The function which expressed the tax on discounted price is,

$c(p) = 1. 12p.$

The sale on the gaming system are of 20 percent and The function which expressed the sale on gaming system is,

$p(g) = 0. 8g$

Now the local tax is applied on the discounted price after the 20 percent sell. Thus the function of discounted price will be a written inside the function of local tax as,

$c[p(g)] =1.12p(0.8) \\c[p(g)] =0.896p$

The above function is the required function, which tales the final price of the gaming system is 0.896 times the original price.

The final price of gaming system, with the discount 20% and taxes 12% applied is represented by composite function as,

$c[p(g)] =0.896p$

Learn more about the composite function here;

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