Question

For a given function f(x), the domain is (-[infinity],-2] and the range is (5,[infinity]). What is the correct domain and range for f−1(x)?

Answer 1

Domain of the inverse is (5, infinity)

Range of the inverse is (-infinity , -2)

Explanation:

To find the domain of the inverse function, we have that;

The range of the function becomes the domain of the inverse

The domain of the function becomes the range of its inverse

so the domain is (5, infinity)

range is (-infinity, -2)