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Show Algebraically That the Functions ff And gg Shown Below Are Inverse Functions

Question 78

Multiple Choice

Show algebraically that the functions ff and gg shown below are inverse functions.
f(x) =8x73,g(x) =x3+78f ( 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)

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