Question

Which graph represents the inverse of function f?

Answer 1

Answer:

GRAPHS OF INVERSE FUNCTIONS: Inverse functions have graphs that are reflections over the line y = x and thus have reversed ordered pairs. Let's use this characteristic to identify inverse functions by their graphs.

Answer 2

Answer:

The relation, developed when the independent variable is interchanged with the variable which is dependent on a specified equation and this inverse may or may not be a function. If the inverse of a function is itself, then it is known as inverse function, denoted by f-1(x).

Step-by-step explanation:

• The inverse function of a function ‘f’ is a function that reverses the action. The inverse of f is represented by f-1. Find out more details about an inverse function graph here.
• An inverse is a function that does the opposite of what another function does. If a function is invertible, it means it can be changed.
• An inverse function is written as f-1. It’s best to show inverses with an arrow diagram, like this one:
• In general, swapping the coordinates x and y is how an inverse is calculated. Although not necessarily a function, this newly created inverse is a relation.
• To guarantee that the original function's inverse will also be a function, the original function must be a one-to-one function. Only when every second element matches the first value is a function deemed to be a one-to-one function (values of x and y are used only once).