How do you find the domain of the functions #root(4)( -4-7x)# and #root(5)( -4-7x)#?
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
That is, we need :
The domain is the solutions set for:
Perhaps your teacher prefers you to write: All real