Find the Domain and Range F(x) = natural log of x+1

$F (x) = \ln (x + 1)$

Set the argument in $\ln (x + 1)$ greater than $0$ to find where the expression is defined.

$x + 1 > 0$

Subtract $1$ from both sides of the inequality.

$x > - 1$

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

Interval Notation:

$(- 1, \infty)$

Set-Builder Notation:

${x | x > - 1}$

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

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${y | y \in ℝ}$

Determine the domain and range.

Domain: $(- 1, \infty), {x | x > - 1}$

Range: $(- \infty, \infty), {y | y \in ℝ}$