Solved

Show Algebraically That the Functions $f$ And $g$ Shown Below Are Inverse Functions

Question 72

Multiple Choice

Show algebraically that the functions $f$ and $g$ shown below are inverse functions.
$f ( x ) = \sqrt [ 3 ] { 8 x - 7 } , \quad g ( x ) = \frac { x ^ { 3 } + 7 } { 8 }$

A)
$Show algebraically that the functions f and g shown below are inverse functions. f ( x ) = \sqrt [ 3 ] { 8 x - 7 } , \quad g ( x ) = \frac { x ^ { 3 } + 7 } { 8 } A) B) C) D) E)$

B)
$Show algebraically that the functions f and g shown below are inverse functions. f ( x ) = \sqrt [ 3 ] { 8 x - 7 } , \quad g ( x ) = \frac { x ^ { 3 } + 7 } { 8 } A) B) C) D) E)$

C) $Show algebraically that the functions f and g shown below are inverse functions. f ( x ) = \sqrt [ 3 ] { 8 x - 7 } , \quad g ( x ) = \frac { x ^ { 3 } + 7 } { 8 } A) B) C) D) E)$

D) $Show algebraically that the functions f and g shown below are inverse functions. f ( x ) = \sqrt [ 3 ] { 8 x - 7 } , \quad g ( x ) = \frac { x ^ { 3 } + 7 } { 8 } A) B) C) D) E)$

E) $Show algebraically that the functions f and g shown below are inverse functions. f ( x ) = \sqrt [ 3 ] { 8 x - 7 } , \quad g ( x ) = \frac { x ^ { 3 } + 7 } { 8 } A) B) C) D) E)$