# What is the domain and range of  f(x) = ln( x - 4)?

Jul 7, 2017

Domain: $x > 4$ , in interval notation: $\left(4 , \infty\right)$
Range: $f \left(x\right) \in \mathbb{R}$ ,in interval notation: $\left(- \infty , \infty\right)$.

#### Explanation:

$f \left(x\right) = \ln \left(x - 4\right)$
Domain: $\left(x - 4\right) > 0 \mathmr{and} x > 4$, in interval notation: $\left(4 , \infty\right)$

Range: $f \left(x\right)$ may be any real value , i.e $f \left(x\right) \in \mathbb{R}$ ,

in interval notation: $\left(- \infty , \infty\right)$.

graph{ln(x-4) [-12.66, 12.65, -6.33, 6.33]} [Ans]