Sarah is purchasing a shirt that is on sale for 20% off. she knows that the function that represents the sale price of her shirt is s(p)=0.8p, where p is the original price of the shirt. she also knows she has to pay 7% sales tax on the shirt. the cost of the shirt with tax is c(s)= 1.07s, where s is the sale price of the shirt.

determine the composite function that can be used to calculate the final price of sears shirt by solving for c[s(p)].

Step-by-step explanation:

Sarah is purchasing a shirt that is on sale for 20% off.

The function that represents the sale price of her shirt is

where P is the original price of the shirt.

Sales tax is 7%, so the cost of the shirt with tax is

where S is the sale price of the shirt.

Now, we have to find the composite function that can be used to calculate the final price of Sarah's shirt.

Substituting s(p) = 0.8 p we have;

Therefore, the composite function is , where p is the original price of the shirt.

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