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What is range of function f(x) = x^-1 which is defined everywhere on its domain?(a) (-∞, ∞)(b) (-∞, ∞) – {0}(c) [0, ∞)(d) None of the mentionedThis question was posed to me during a job interview.My question comes from Domain and Range of Functions in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer»

Right answer is (a) (-∞, ∞)

The EXPLANATION is: FUNCTION x^-1 may take any real number hence it’s RANGE is all real NUMBERS.



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