Answer:
Option D is correct.
Range of the function h(x)

Step-by-step explanation:
The range of the function is the set of all dependent variables for which function is defined
Given the function:

Let y = h(x)
then;

By cross multiply we have;

Using distributive property: 

Add both sides
we get;

or

Divide both sides (1+y) we get;

or

or

interchange x and y value we have;

To find the excluded value of the inverse function of h(x)
Equate denominator of the inverse function to 0.
x +1 = 0
x = -1
so, the domain of the inverse function is the set of all real values except -1
therefore, the function h(x) is the set of all real values except -1 i.e
