Find the Domain and Range (x) = square root of x-1

$(x) = \sqrt{x - 1}$

Step 1

Remove parentheses.

$x$

Step 2

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 3

The range is the set of all valid $y$ values. Use the graph to find the range.

Interval Notation:

$[0, \infty)$

Set-Builder Notation:

${y | y \geq 0}$

Step 4

Determine the domain and range.

Domain: $(- \infty, \infty), {x | x \in ℝ}$

Range: $[0, \infty), {y | y \geq 0}$

Step 5

Find the Domain and Range (x) = square root of x-1

Related Questions

Support LCMGCF.com by disabling your adblocker.