Find the inverse of the one-to-one function. $$y = 8 x$$
A) $\quad y = \frac { 8 } { x }$
B) $\quad y = \frac { x } { 8 }$
C) $\quad y = 64 x$
D) $\quad y = 8 x ^ { 2 }$
E) $y = 8 x$

Question

Quizplus · Accepted Answer

To find the inverse of a function, we switch the roles of $x$ and $y$ and solve for $y$. Starting with the function $y=8x$, we switch $x$ and $y$ to get $x=8y$. Solving for $y$, we get $y=\frac{x}{8}$. Therefore, the inverse of the function is $y=\frac{x}{8}$.

Find the Inverse of the One-To-One Function y=8xy = 8 xy=8x

Find the Inverse of the One-To-One Function $y = 8 x$