# How do you find the domain of the functions #root(4)( -4-7x)# and #root(5)( -4-7x)#?

##### 1 Answer

Both of these function have radicand

Even roots of negative numbers are not in the set of real numbers. (They are in the complex, or 'two-part' numbers.) Odd roots of negative numbers are negative numbers.

So, there is no restriction on the domain of **R** or

For

That is, we need :

The domain is the solutions set for:

Perhaps your teacher prefers you to write: All real