Composition and Inverse Functions

Composition of Functions

Definition: (f∘g)(x) = f(g(x))

Example: If f(x) = 2x+3 and g(x) = x², then f∘g(x) = 2x²+3

Why is Function Composition Important?

Understanding Function Composition

(f∘g)(x) = f(g(x))

Inverse Functions

f(f⁻¹(x)) = x and f⁻¹(f(x)) = x