The functions s and t are defined as s(x) 10 x, x , t(x) 2 x b 8, x , where b is a constant The equation s(x) t(x) has exactly one real root Find the value of b

Question: The functions s and t are defined as s(x) = 10 x, x , t(x) = 2|x + b| 8, x

The functions s and t are defined as s(x) = −10 − x, x ∈ ℝ, t(x) = 2|x + b| − 8, x ∈ ℝ, where b is a constant. The equation s(x) = t(x) has exactly one real root. Find the value of b.

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