Finite Math Examples

$f (x) = \sqrt{x + 5}$

Step 1

Set the radicand in $\sqrt{x + 5}$ less than $0$ to find where the expression is undefined.

$x + 5 < 0$

Step 2

Subtract $5$ from both sides of the inequality.

$x < - 5$

Step 3

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$x < - 5$

$(- \infty, - 5)$

Step 4