Find the inverse of the one-to-one function. $$y = 3 x + 9$$
A) $\quad y = \frac { x + 9 } { 3 }$
B) $\quad y = \frac { x - 3 } { 9 }$
C) $\quad y = \frac { 3 } { x - 9 }$
D) $\quad y = \frac { x - 9 } { 3 }$
E) none of the above

Question

Quizplus · Accepted Answer

To find the inverse of a one-to-one function, we switch the x and y and solve for y. So we have $$x = 3y+9$$ Solving for y, we get $$y=\frac{x-9}{3}$$which matches option D. Therefore, the answer is D.

Find the Inverse of the One-To-One Function y=3x+9y = 3 x + 9y=3x+9

Find the Inverse of the One-To-One Function $y = 3 x + 9$