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Question
If the function f is defined by f(x) = `{{:(x + 2";", x > 1),(2";", -1 ≤ x ≤ 1),(x - 1";", -3 < x < -1):}` find the value of f(2) + f(– 2)
Solution
f(x) = x + 2 when x = {2, 3, 4, ……}
f(x) = 2
f(x) = x – 1 when x = {– 2}
f(x) = x + 2
f(2) = 2 + 2 = 4
f(x) = x – 1
f(– 2) = – 2 – 1 = – 3
f(2) + f(– 2) = 4 – 3
= 1
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