If f(x) = |x| + 9 and g(x) = –6, which describes the value of (f + g)(x)? options: a - (f + g)(x) ≥ 3 for all values of x b - (f + g)(x) ≤ 3 for all values of x c - (f + g)(x) ≤ 6 for all values of x d - (f + g)(x) ≥ 6 for all values of x

If f(x) + g(x) = (f + g)(x), then we can simplify this by adding both functions together: ΙxΙ + 9 + (- 6). This makes ΙxΙ + 3. The absolute value of x can only be something that is greater than or equal to zero for the function to make sense. This means your answer is a.) (f + g)(x) ≥ 3.

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