Question

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

Answer 1

`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 `5/0" is undefined "`

To find the values that will create this situation

solve : 4 - 9x = 0 `rArrx=4/9`

This is the value of x that must be avoided.

`rArr "domain": x inRR , x≠4/9`