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Question
Answer the following:
Find the domain of the following function.
f(x) = `sqrt(x - 3) + 1/(log(5 - x))`
Solution
f(x) = `sqrt(x - 3) + 1/(log(5 - x))`
For f to be defined,
x – 3 ≥ 0, 5 – x > 0 and 5 – x ≠ 1
∴ x ≥ 3, x < 5 and x ≠ 4
∴ Domian = [3, 4) ∪ (4, 5)
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