# How do you find the domain of F(x)=ln(-7-4x)?

Sep 27, 2017

Domain: $x < - \frac{7}{4} \mathmr{and} \left(- \infty , - \frac{7}{4}\right)$

#### Explanation:

$F \left(x\right) = \ln \left(- 7 - 4 x\right)$ Since any value for $x$ in $\ln x$ must be greater

than zero , then domain is $- 7 - 4 x > 0 \mathmr{and} - 4 x > 7$ or

$- x > \frac{7}{4} \mathmr{and} x < - \frac{7}{4}$

Domain: $x < - \frac{7}{4} \mathmr{and} \left(- \infty , - \frac{7}{4}\right)$