# What is the domain of the function: #f(x) =sqrt(x^2(x-3)(x-4))#?

##### 2 Answers

#### Answer:

#### Explanation:

Given

To find the domain we need to determine which values of

Since the

The only combination for which

is when

That is the only non-valid values for (Real)

#### Answer:

#### Explanation:

The domain is where the radicand (the expression under the square root sign) is non-negative.

We know that

So in order that

When

When

When

So

Note that this domain already includes the point