Question

What is the domain of `g(x) = 3 / (9 - 4x)`?

Answer 1

Refer to explanation

Explanation:

We need to find the values that nullify the denominator and exclude them

hence we have that

`9-4x=0=>x=9/4`

So the domain is `R-{9/4}`

Answer 2

Have a look.

Explanation:

The domain is the set of `x` values that your function can accept:
In this case the only value NOT allowed is the one that makes the denominator equal to zero, which is `x=9/4`.
The domain will then be all the real `x` except `x=9/4`.