Inverses

[Lil_yoyobo needs help]

Determine if the inverse of f(x) = "the attached picture" is a function. Then find the inverse.

My confusion is how do I solve this since there is a negative cube root and I don't know how to solve this problem because of that.

 

[Steven G]

The negative in the root tells you to take the reciprocal. For example (x/(x+2))^-2/3 = ((x+2)/x)^2/3

\(\displaystyle \sqrt[-3]{a} = \dfrac{1}{\sqrt[3 ]{a}}\)

 

[Lil_yoyobo needs help]

The negative in the root tells you to take the reciprocal. For example (x/(x+2))^-2/3 = ((x+2)/x)^2/3

\(\displaystyle \sqrt[-3]{a} = \dfrac{1}{\sqrt[3 ]{a}}\)

Thank you for your time! I got it now. Ye