Determine whether the two functions are inverses.
-$$f ( x ) = \frac { 2 } { x + 3 } \text { and } g ( x ) = \frac { 2 + 3 x } { x }$$
A) Yes
B) No

Question

Quizplus · Accepted Answer

To determine if two functions are inverses, one must compose them (i.e., substitute one into the other) and see if the result is the identity function, $x$. Composing $f(g(x))$ and $g(f(x))$ with the given functions does not yield $x$ in either case, indicating they are not inverses of each other.

Determine Whether the Two Functions Are Inverses f(x)=2x+3 and g(x)=2+3xxf ( x ) = \frac { 2 } { x + 3 } \text { and } g ( x ) = \frac { 2 + 3 x } { x }f(x)=x+32​ and g(x)=x2+3x​

Determine Whether the Two Functions Are Inverses $f ( x ) = \frac { 2 } { x + 3 } \text { and } g ( x ) = \frac { 2 + 3 x } { x }$