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 $\text { (a) } ( f \circ g ) ( x ) = x \text { and } ( b ) ( g \circ f ) ( x ) = x \text {. }$ $$f ( x ) = 2 x - 1 \text { and } g ( x ) = \frac { x + 1 } { 2 }$$