Composition and Inverse Functions

Front

Function Composition

Back

Combining two functions

Front

Notation for Composition

Back

(f ◦ g)(x)

Front

Inverse Function

Back

Reverses another function

Front

Notation for Inverse

Back

f⁻¹(x)

Front

Identity Function

Back

f(f⁻¹(x)) = x

Front

Domain of Composition

Back

Domain of g(x)

Front

Range of Composition

Back

Range of f(x)

Front

One-to-One Function

Back

Has an inverse

Front

Horizontal Line Test

Back

Determines if inverse exists

Front

Bijective Function

Back

Both injective and surjective