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The graphs of f(x) and g(x) are shown below.

The graphs of f(x) and g(x) are shown below.-example-1
User Luca Mozzo
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2 Answers

3 votes
(-inf,2)
............
The graphs of f(x) and g(x) are shown below.-example-1
User Chrisarton
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8.5k points
6 votes

Answer:

Option B. (-∞, 2) is the answer.

Explanation:

The given functions are f(x) = x - 3 and g(x) = -0.5x

We have to find the value of (f - g)(x)

Since (f - g)(x) = f(x) - g(x)

= (x - 3) - (-0.5x)

= x - 3 + 0.5x

= 1.5x - 3

= 1.5(x - 2)

Interval (f - g)(x) negative will be negative for x < 2.

Therefore, interval (-∞, 2) will be the interval for the negative values of the function.

Option B. will be the answer.

User Imcoddy
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