How do you find the domain and range of $sqrt(x-1)$ ?

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Answer 1 · 2018-08-02T16:39:19

Domain: $[1, +oo)$
Range: $[0, +oo)$

$f(x) = sqrt(x-1)$ :
The square roots are only defined when the expression under the square root is non-negative.

Domain:
$x - 1 >= 0$
$x >=1$

Range:
$sqrt (x-1) >= 0$
$f(x) >= 0$

How do you find the domain and range of sqrt(x-1)sqrt(x-1)?