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Question
Answer the following:
Find the domain of the following function.
f(x) = 5–xPx–1
Solution
f(x) = 5–xPx–1
nPr is defined if n ∈ N, r ∈ Wand r ≤ n
∴ x – 1 ≤ 5 – x
∴ 2x ≤ 6
∴ x ≤ 3
For x ∈ W and x ≤ 3, x = 0, 1, 2, 3
But if x = 0, x – 1 = – 1 < 0
∴ x ≠ 0
∴ x = 1, 2, 3
∴ the solution set is {1, 2, 3}.
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