Calculus Examples

$f (x) = \sqrt{x + 121}$

Step 1

Set the radicand in $\sqrt{x + 121}$ greater than or equal to $0$ to find where the expression is defined.

$x + 121 \geq 0$

Step 2

Subtract $121$ from both sides of the inequality.

$x \geq - 121$

Step 3

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

Interval Notation:

$[- 121, \infty)$

Set-Builder Notation:

${x | x \geq - 121}$

Step 4