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