Inverse Function Definition

[nycmathguy]

The textbook has a poor, confusing definition of what an inverse function actually is. In your own words, what is an inverse function? I say an inverse function is a function that is the opposite of the original function given. You say?

 

[MathLover1]

An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y).

Example: f(x) = 2x + 5 = y

Then, g(y) = (y-5)/2 = x is the inverse of f(x).

Note:

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).

 

[nycmathguy]

An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y).

Example: f(x) = 2x + 5 = y

Then, g(y) = (y-5)/2 = x is the inverse of f(x).

Note:

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).

Another simple but significant reply.