a story is offering a 30% discount in all items. Also, employees get a 10% employee discount. Write a composite function to model taking the 30% discount and then the 10% discount.
A)f(x)=0.45x
B)f(x)=0.68x
C)f(x)=0.63x
D)f(x)=0.60x
To model taking a 30% discount, we multiply the original price by 0.7 (100% - 30% = 70%). This can be represented as f(x) = 0.7x.
To then apply the 10% employee discount, we multiply the price after the first discount by 0.9 (100% - 10% = 90%). This can be represented as g(x) = 0.9x.
To model taking both discounts, we can combine these two functions into a composite function. The final price, after taking both discounts, will be g(f(x)), or 0.9(0.7x).
This simplifies to 0.63x, so the correct answer is:
C) f(x) = 0.63x