Find the inverse of the one-to-one function.
-$f ( x ) = 6 x + 9$
A) $f ^ { - 1 } ( x ) = - \frac { x - 9 } { 6 }$
B) $f ^ { - 1 } ( x ) = \frac { x - 9 } { 6 }$
C) $f ^ { - 1 } ( x ) = - \frac { x + 6 } { 9 }$
D) $f ^ { - 1 } ( x ) = \frac { x + 9 } { 6 }$

Question

Quizplus · Accepted Answer

To find the inverse of $f(x) = 6x + 9$, you swap $x$ and $f(x)$ and solve for the new $x$. This gives $x = 6y + 9$, and solving for $y$ gives $y = \frac{x - 9}{6}$, which matches choice B.

Find the Inverse of the One-To-One Function f(x)=6x+9f ( x ) = 6 x + 9f(x)=6x+9

Find the Inverse of the One-To-One Function $f ( x ) = 6 x + 9$