Determine whether the function has an inverse function.If it does,find the inverse function.? $g ( x ) = \frac { x } { 5 }$ ?
A) $g ^ { - 1 } ( x ) = - 5 x$
B) $g ^ { - 1 } ( x ) = 5 x$
C) $$g ^ { - 1 } ( x ) = \frac { 5 } { x }$$
D) $g ^ { - 1 } ( x ) = - \frac { x } { 5 }$
E)No inverse

Question

Quizplus · Accepted Answer

To find the inverse function, swap $x$ and $y$ and solve for $y$. Starting with $y = \frac{x}{5}$, swapping gives $x = \frac{y}{5}$, and solving for $y$ gives $y = 5x$, which is the inverse function, $g^{-1}(x) = 5x$.

Determine Whether the Function Has an Inverse Function g(x)=x5g ( x ) = \frac { x } { 5 }g(x)=5x​

Determine Whether the Function Has an Inverse Function $g ( x ) = \frac { x } { 5 }$