Precalculus Examples

$f (x) = \frac{\sqrt{x}}{x + 1}$

Step 1

Set the radicand in $\sqrt{x}$ greater than or equal to $0$ to find where the expression is defined.

$x \geq 0$

Step 2

Set the denominator in $\frac{\sqrt{x}}{x + 1}$ equal to $0$ to find where the expression is undefined.

$x + 1 = 0$

Step 3

Subtract $1$ from both sides of the equation.

$x = - 1$

Step 4

The domain is all values of $x$ that make the expression defined.

Interval Notation:

$[0, \infty)$

Set-Builder Notation:

${x | x \geq 0}$

Step 5