Determine whether the two functions are inverses.
-$f ( x ) = 6 x + 6 \text { and } g ( x ) = \frac { 6 + x } { 6 }$
A) No
B) Yes

Question

Quizplus · Accepted Answer

To determine if two functions are inverses, $ f(g(x)) $ and $ g(f(x)) $ must both equal $ x $. Here, $ f(g(x)) = 6(\frac{6 + x}{6}) + 6 = x + 12 \neq x $ and $ g(f(x)) = \frac{6 + (6x + 6)}{6} = x + 2 \neq x $. Therefore, they are not inverses.

Determine Whether the Two Functions Are Inverses f(x)=6x+6 and g(x)=6+x6f ( x ) = 6 x + 6 \text { and } g ( x ) = \frac { 6 + x } { 6 }f(x)=6x+6 and g(x)=66+x​

Determine Whether the Two Functions Are Inverses $f ( x ) = 6 x + 6 \text { and } g ( x ) = \frac { 6 + x } { 6 }$