Find the inverse of the one-to-one function. $$y = 3 x + 4$$
A) $y = \frac { x + 4 } { 3 }$
B) $y = \frac { x - 3 } { 4 }$
C) none of the above
D) $y = \frac { x - 4 } { 3 }$
E) $y = \frac { 3 } { x - 4 }$

Question

Quizplus · Accepted Answer

To find the inverse, we can first switch $x$ and $y$ and solve for $y$: $$x = 3y + 4 \Rightarrow y = \frac{x-4}{3}$$ Therefore, the inverse function is $y = \frac{x-4}{3}$, which is choice $\boxed{\text{(D)}}$.

Find the Inverse of the One-To-One Function y=3x+4y = 3 x + 4y=3x+4

Find the Inverse of the One-To-One Function $y = 3 x + 4$