Find the inverse of each function below. Use correct notation to express your answer.

1. $f\left(x\right) = 3x^{3} − 5$

   Step 1(a):

   Substitute y for the function notation.

   Step 2(a):

   Switch every $x$ to $y$ and every $y$ to $x$.

   Step 3(a):

   Solve for y.

   Step 4(a):

   Add 5 to both sides:

   Step 5(a):

   Divide both sides by 3.

   Step 6(a):

   Take the cube root of both sides.

   Answer (a):

   $\small \sqrt[3]\frac{x+5}{3}$

   $y = 3x^{3} − 5$

   $x = 3y^{3} − 5$

   $\textit{x} + 5 = 3\textit{y}^{3}$

   $\frac{x+5}{3} = \textit{y}^3$

2. $g(x)=\sqrt{2x+4}$

   Hint (b):

   Follow the same procedure for (a).

3. $h(x)=\frac{1}{2}x^2−2$

   Hint (c):

   Follow the same procedure for (a).