Answer:
Step-by-step explanation:
f(x) = 6(x+2)²-6
f⁻¹(f(x)) = x
f(x) = t => 6(x+2)²-6 = t =>
=> 6(x+2)² = t+6 =>
=> (x+2)² = t/6 + 1
=> x+2 = ±√(t/6 + 1)
=> x = ±√(t/6 + 1) - 2
=> f⁻¹(x) =
{√(x/6 + 1) - 2, x > -6
{-√(x/6 + 1) - 2, x ≤ -6
