the graph of a one - to - one function f is given. draw the graph of the inverse function f^(-1). for…

the graph of a one - to - one function f is given. draw the graph of the inverse function f^(-1). for convenience (and as a hint), the graph of y = x is also given. choose the correct graph of the inverse function f^(-1) below.

the graph of a one - to - one function f is given. draw the graph of the inverse function f^(-1). for convenience (and as a hint), the graph of y = x is also given. choose the correct graph of the inverse function f^(-1) below.

Answer

Explanation:

Step1: Recall property of inverse - function graph

The graph of a function (y = f(x)) and its inverse (y = f^{-1}(x)) are symmetric about the line (y=x). That is, if ((a,b)) is a point on the graph of (y = f(x)), then ((b,a)) is a point on the graph of (y = f^{-1}(x)).

Step2: Analyze each option

Check the symmetry of the given graphs with respect to the line (y = x). For the original one - to - one function, we can take some key points on its graph, swap their (x) and (y) coordinates, and see which of the option graphs contains those new points and is symmetric about (y=x).

Answer:

(Without seeing the actual content of the options, we can't give a specific letter - choice. But the correct option is the graph that is symmetric to the given graph of (f(x)) about the line (y = x))