Question

Inverse of 6(x+2)^2 -6

Answer 1

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