Calculus Examples

$f (x) = \ln (x - 1)$

Step 1

Set the argument in $\ln (x - 1)$ less than or equal to $0$ to find where the expression is undefined.

$x - 1 \leq 0$

Step 2

Add $1$ to both sides of the inequality.

$x \leq 1$

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 $0$ .

$x \leq 1$

$(- \infty, 1]$

Step 4