Verify That F and G Are Inverse Functions by Showing $\text { (a) } ( f \circ g ) ( x ) = x \text { and(b) } ( g \circ f ) ( x ) = x \text {. }$

Short Answer

Verify that f and g are inverse functions by showing that $\text { (a) } ( f \circ g ) ( x ) = x \text { and(b) } ( g \circ f ) ( x ) = x \text {. }$ $$f ( x ) = x ^ { 3 } + 6 \text { and } g ( x ) = \sqrt [ 3 ] { x - 6 }$$