The functions below represent the amounts of water released from two reservoirs over x weeks.

f(x) = 7x – 8x – 2

g(x) = 4x2 + 3x + 15

which of the following shows the difference in the amounts of water released, h(x) = f(x) – g(x)?

a) h(x) = 7x + 4x2 + 11x – 17
b) h(x) = 7x + 4x2
c) h(x) = 7x + 4x2 – 11x + 17
d) h(x) = 7x – 4x2 – 11x – 17

The correct answer is D. h(x) = 7x – 4x2 – 11x – 17

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

f(x) = 7x – 8x – 2  

g(x) = 4x2 + 3x + 15

2. Which of the following answers shows the difference in the amounts of water released, h(x) = f(x) – g(x)?

h(x) = f(x) - g(x)

h(x) = 7x – 8x – 2   - (4x2 + 3x + 15)

h(x) = 7x – 8x – 2   - 4x2 - 3x - 15

h(x) = 7x – 11x – 17   - 4x2

The correct answer is D. h(x) = 7x – 4x2 – 11x – 17

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