The correct answer is (D):f(x) = 2x – 5, g(x) = 7 – 2x.Given, |f(x) + g(x)| = |f(x)| + |g(x)2 = |f(x)| + |g(x)|In the 3 ranges (- ∞,5/2), [5/2,7/2] and [7/2,∞),|f(x)|+|g(x)| = 2 only when x ∈ [5/2,7/2]