Determine whether the given functions are inverses of each other.
-$$f ( x ) = 7 x , \quad g ( x ) = \frac { x } { 7 }$$
A)Yes
B)No

Question

Quizplus · Accepted Answer

To determine if two functions are inverses of each other, we can compose them (i.e., plug one function into the other) and see if the result is the identity function, $x$. For $f(x) = 7x$ and $g(x) = \frac{x}{7}$, composing them gives $f(g(x)) = 7(\frac{x}{7}) = x$ and $g(f(x)) = \frac{7x}{7} = x$, which means they are inverses of each other.

Determine Whether the Given Functions Are Inverses of Each Other f(x)=7x,g(x)=x7f ( x ) = 7 x , \quad g ( x ) = \frac { x } { 7 }f(x)=7x,g(x)=7x​

Determine Whether the Given Functions Are Inverses of Each Other $f ( x ) = 7 x , \quad g ( x ) = \frac { x } { 7 }$