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Answer:
The value of g(f(100)) is 65.
Step-by-step explanation:
It is given that one coupon is good for 20% off of the total not including tax. The other coupon will take $15 off of her pre-tax total.
The given functions are
where, f(x) calculates the total after the 20% off coupon and g(x) calculates the total after the $15 dollar off coupon.
We need to find the value of g(f(100)).
Substitute x=100 in the above function.
Substitute x=80 in function g(x) to find the value of g(f(100)).
Therefore, the value of g(f(100)) is 65.
g(f(x)) represents the value goods after applying both coupons consecutively.
Therefore, g(f(100)) represents the value of $100 goods after applying both coupons consecutive is 65.