Sketch the Graphs of Inverse Functions $f ( x ) = x ^ { 5 } - 2 , f ^ { - 1 } ( x ) = \sqrt [ 5 ] { x + 2 }$

Multiple Choice

Sketch the graphs of inverse functions $f ( x ) = x ^ { 5 } - 2 , f ^ { - 1 } ( x ) = \sqrt [ 5 ] { x + 2 }$ in the same coordinate plane and show that the graphs are reflections of each other in the line $y = x$

A) $\begin{array} { l l r r } x & - 1 & 0 & 1 \\f ( x ) & - 3 & - 2 & - 1 \\\\x & - 4 & - 2 & - 1 \\f ^ { - 1 } ( x ) & - 1 & 0 & 1\end{array}$
B) $\begin{array} { l lrr } x & - 1 & 0 & 1 \\f ( x ) & - 3 & - 2 & - 1 \\\\x & - 3 & - 2 & -1\\f ^ { - 1 } ( x ) & - 1 & 2 & 1\end{array}$
C) $\begin{array} { l r rr } x & 0 & 0 & 1 \\f ( x ) & - 3 & - 2 & - 1 \\\\x & - 3 & - 2 & -1\\f ^ { - 1 } ( x ) & - 1 & 0 & 1\end{array}$
D) $\begin{array} { l l rr } x & - 1 & 0 & 1 \\f ( x ) & - 3 & - 2 & - 1 \\\\x & - 3 & - 2 & -1\\f ^ { - 1 } ( x ) & - 1 & 0 & 1\end{array}$
E)
$\begin{array}{llrr}x & -1 & 0 & -1 \\f(x) & -3 & -2 & -1 \\\\x & -3& 2& -1 \\f^{-1}(x) & -1 & -2 & 1\end{array}$