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

Refer to explanation

#### Explanation:

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

hence we have that

$9 - 4 x = 0 \implies x = \frac{9}{4}$

So the domain is $R - \left\{\frac{9}{4}\right\}$

Sep 24, 2015

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 $x = \frac{9}{4}$.
The domain will then be all the real $x$ except $x = \frac{9}{4}$.