For what values of x is the expression below defined? radical x plus 4 divided by radical 1 minus x

The function is defined in the interval [-4,0)

Step-by-step explanation:

Here the given expression is,

⇒

Since, the function can not be defined if the value inside the square root is negative,

Thus, we can write,

⇒

⇒

Also,

But, if the denominator is zero the function can not be defined.

Thus,

⇒ 1 > x

Thus, For the function f(x), -4 ≤ x <1

Hence, the Domain of the given function is [-4,0)