# find the domain of the following real valued function.

## Answers

**Answer:**

It's just a game of thinking...

**Step-by-step explanation:**

Take a look at the expression:-

- Which Implies that x can't be lesser than -3.

Now, look at this expression :-

Which Implies that x can't be greater than 3.

So, the domain of f (x) should be [-3, 3].

**But**** ****wait**** ****!**** **

Checked the x in the denominator?

What does this x mean?

(This means that x can't be equal to 0, as f (x) will approach to infinite).

So, finally...

The domain of f (x) is [-3, 0) U (0, 3].

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