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16 November, 06:55

HURRY!

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

+3
Answers (1)
  1. 16 November, 07:03
    0
    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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