# How do you find the domain of g(x)=5/(4-9x)?

May 7, 2016

 x inRR , x≠ 4/9

#### Explanation:

To find the domain we must avoid any values of x that will make the denominator equal to zero.
as $\frac{5}{0} \text{ is undefined }$

To find the values that will create this situation

solve : 4 - 9x = 0 $\Rightarrow x = \frac{4}{9}$

This is the value of x that must be avoided.

rArr "domain": x inRR , x≠4/9