Determine the inverse of the function f(x)=log3​(2x+4)−6.

a) f⁻¹(x)=3ˣ⁺⁶−4/2

b) f⁻¹(x)=3x+2/2

c) f⁻¹(x)=(x+6)³−4/2

d) f⁻¹(x)=3ˣ⁻⁶+4/2