The domain of definition of f(x) = \(\sqrt{\frac{(x+1)(x-3)}{x-2}}\)i – InterviewSolution

InterviewSolution

1.

The domain of definition of f(x) = \(\sqrt{\frac{(x+1)(x-3)}{x-2}}\)is A. [-1, 2) ∪ [3, ∞) B. (-1, 2) ∪ [3, ∞) C. [-1, 2] ∪ [3, ∞) D. None of these

Answer»

Option : (A)

Given,

f(x) = √((x+1)(x-3)/(x-2))

Here,

\({\frac{(x+1)(x-3)}{x-2}}\) ≥ 0

But,

x ≠ 2

So,

x ∈ [-1,2) ∪ [3,∞)

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