What is the domain and range of y= sqrt(x-1)?

1 Answer
Shwetank Mauria
Feb 29, 2016

Domain is x>=1. Range is all real numbers.

Explanation:

Note that (x-1) cannot take negative values of y is real. Assuming that we are working in real number domain, it is obvious x cannot take values less than one. Hence, domain is x>=1.

However, as sqrt(x-1), y can take any value. Hencr, range is all real numbers.

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