The values of the function g⁻¹(2) is {(12, 0), (14, -4), (-4, -14), (-18, 18)}, h⁻¹(x) is 11x / (x + 14) and (h o h⁻¹)(2) is 235 / 176
What is a function
In mathematics, a function is a relation between a set of inputs, called the domain, and a set of outputs, called the range, such that each input is associated with exactly one output.
More formally, a function f from a set A to a set B is a rule or correspondence that assigns to each element x in the set A exactly one element y in the set B. The set A is called the domain of the function, and the set B is called the range or codomain. The output y is called the image of x under the function f, and is often denoted as f(x).
From the question;
g = {(0, 6), (2, -7), (7, 2), (9, -9)}
h(x) = (x + 14) / 11
g⁻¹(2) = {(12, 0), (14, -4), (-4, -14), (-18, 18)}
h⁻¹(x) = 11x / (x + 14)
(h o h⁻¹)(2) = 235 / 176
Learn more on functions here;