Find the domain and the range of the real function f defined by f (x) = |x – 1|.
Answered Feb 05, 2023
The given real function is f (x) = |x – 1|. It is clear that |x – 1| is defined for all real numbers. ∴ Domain of f = R Also, for x ∈ R, |x – 1| assumes all real numbers. Hence, the range of f is the set of all non-negative real numbers.
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The given real function is f (x) = |x – 1|. It is clear that |x – 1| is defined for all real numbers. ∴ Domain of f = R Also, for...
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R = {(a, b): a, b ∈ Z, a – b is an integer} It is known that the difference between any two integers is always an integer. ∴ Domain of R...
(d) The domain of the function sec–1x is R – (–1, 1).
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