**Q: Find the domain of h(x):**

**h(x) = 27 / (3-x)**

A: The domain represents all of the possible x values. The best way to find the domain is to first think of **what numbers x cannot be**.

There are a few areas of concern when we think about domains… We need to check

- Denominators
- Square-roots
- Logarithms

So, looking at the function: h(x) = 27 / (3-x)

We know that the denominator cannot equal zero in any expression. So,

(3-x) ≠ 0

-x ≠ – 3

x ≠ 3

Therefore, x can be anything except -3.

If written in interval notation, this is: (-∞, -3) U (-3, ∞).

### Like this:

Like Loading...