Decide whether or not the functions are inverses of each other.
-$f ( x ) = 9 x - 8 , g ( x ) = \frac { x + 9 } { 8 }$
A) No
B) Yes

Name: Decide whether or not the functions are inverses of each other. -$f ( x ) = 9 x - 8 , g ( x ) = \frac { x + 9 } { 8 }$ A) No B) Yes
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Question

Quizplus · Accepted Answer

To determine if two functions are inverses, $ f(g(x)) $ and $ g(f(x)) $ should both equal $ x $. Here, $ f(g(x)) = 9(\frac{x+9}{8}) - 8 \neq x $ and $ g(f(x)) = \frac{9x-8+9}{8} \neq x $. Thus, they are not inverses.

Decide Whether or Not the Functions Are Inverses of Each f(x)=9x−8,g(x)=x+98f ( x ) = 9 x - 8 , g ( x ) = \frac { x + 9 } { 8 }f(x)=9x−8,g(x)=8x+9​

Decide Whether or Not the Functions Are Inverses of Each $f ( x ) = 9 x - 8 , g ( x ) = \frac { x + 9 } { 8 }$