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

Question

Quizplus · Accepted Answer

To determine if two functions are inverses of each other, we check if $f(g(x)) = x$ and $g(f(x)) = x$. Here, $f(g(x)) = 7\left(\frac{7}{x}\right) = \frac{49}{x}$ and $g(f(x)) = \frac{7}{7x} = \frac{1}{x}$, neither of which simplifies to $x$. Therefore, $f(x)$ and $g(x)$ are not inverses of each other.

Determine Whether the Given Functions Are Inverses of Each Other f(x)=7x,g(x)=7xf ( x ) = 7 x , \quad g ( x ) = \frac { 7 } { x }f(x)=7x,g(x)=x7​

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