# What is the domain of #g(t)=root4(t+4)#?

##### 1 Answer

Let's look at the similarities between the something you're probably very familiar with, square roots, and this fourth root problem.

Consider the following example.

Determine the value of:

a)

b)

c)

Answer:

a)

b)

c)

As you can see, there is a pattern here. Whenever the power is even, the answer will always be positive, while if it is odd it will be negative.

So, we can also conclude by this that

Hence, the function

So, the domain is

Hopefully this helps!