Tips

• When functions are nested, start inside and work outwards

Nested Function Notations

• f (g (x) [standard notation]

• (f ∘ g)(x) = f (g (x))

• (f * g)(x) = (fg)(x) = f(x) * g(x)

Inverse of a Function

• To solve for f⁻¹ (x), replace y with x & x with y