Answer:
[tex]c[s(p)]=0.856p[/tex]
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 [tex]s(p)=0.8p[/tex]
where P is the original price of the shirt.
Sales tax is 7%, so the cost of the shirt with tax is [tex]c(s)= 1.07s[/tex]
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.
[tex]c[s(p)]=1.07(s(p))[/tex]
Substituting s(p) = 0.8 p we have;
[tex]c[0.8p]=1.07(0.8p) =0.856p[/tex]
Therefore, the composite function is [tex]c[s(p)]=0.856p[/tex] , where p is the original price of the shirt.
