Is there an inverse for the function f(x)=6x^3+3, or is it not a one-to-one function?

Question

helder_edwin · Answer

it is a one-to-one function and it has an inverse

anonymous · Answer

well, I'm taking a quiz, and these are my choices @helder_edwin 
A) f^-1(x)=cubed root of x+3/6
B) f^-1(x)=cubed root of x-3/6
C) Not a one-to-one function
D) cubed root of (x/6)-3

anonymous · Answer

If it is a one-to-one function, then it must be B. Right?

helder_edwin · Answer

u have to solve for x the following equation
$$\large y=6x^3+3 $$

helder_edwin · Answer

$$\large y-3=6x^3 $$
$$\large \frac{y-3}{6}=x^3 $$
$$\large x=\sqrt[3]{\frac{y-3}{6}} $$

anonymous · Answer

So that's B. Correct?

helder_edwin · Answer

yes

anonymous · Answer

Yay! Thanks so much! I made a hundred on the quiz. God bless you! :D

helder_edwin · Answer

u r welcome