Find the inverse of the one-to-one function. $$y = 2 x + 7$$
A) $y = \frac { x + 7 } { 2 }$
B) none of the above
C) $\quad y = \frac { 2 } { x - 7 }$
D) $y = \frac { x - 2 } { 7 }$
E) $y = \frac { x - 7 } { 2 }$

Question

Quizplus · Accepted Answer

To find the inverse, we need to solve for $x$ in terms of $y$. We first isolate the $x$ term: $$y - 7 = 2x.$$ Then, we solve for $x$: $$x = \frac{y-7}{2}.$$ Thus, the inverse of the function is $y=\frac{x-7}{2}$ or $\boxed{	extbf{(E)}}$.

Find the Inverse of the One-To-One Function y=2x+7y = 2 x + 7y=2x+7

Find the Inverse of the One-To-One Function $y = 2 x + 7$