Answer:
Is not a function
Step-by-step explanation:
A relation is a function if each value of the input set (domain) is assigned only one value of the output set (range)
Given a function [tex]f(x)[/tex], the inverse of f denoted [tex]f ^ {- 1}(x)[/tex] is a function only if f(x) is a one-to-one function. This means that there are not in the domain of [tex]f(x)[/tex] two distinct values of x that produce the same value of y.
In the graph of f(x) you can see that the function is not one-to-one. Since [tex]f(x) = (-x)[/tex] for all x.
For example:
[tex]f(1) = f (-1)\\\\f (2) = f (-2)\\\\[/tex]
Observe the attached graph
In general, the inverse of a quadratic function f(x) is not a function
