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Domain, codomain and range

Sets, relations and functions · Mathematics

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Q: Find domain and range of (a) f(x) = √(x-2) (b) f(x) = 1/(x+1). (a) Need x - 2 ≥ 0: domain [2, ∞). Outputs ≥ 0: range [0, ∞). (b) Denominator ≠ 0: domain R - {-1}. Range: all reals except 0 (1/(x+1) never equals 0).

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