Find the inverse of the function. $f ( x ) = \frac { x - 2 } { 3 }$
A) $f ^ { - 1 } ( x ) = 2 x - 3$
B) $f ^ { - 1 } ( x ) = 2 x$
C) $f ^ { - 1 } ( x ) = \frac { x + 2 } { 3 }$
D) $f ^ { - 1 } ( x ) = 3 x + 2$
E)none of these

Question

Quizplus · Accepted Answer

To find the inverse of the function $f(x) = \frac{x - 2}{3}$, you swap $x$ and $y$ and solve for $y$. So, $x = \frac{y - 2}{3}$ becomes $y = 3x + 2$, which matches option D.

Find the Inverse of the Function f(x)=x−23f ( x ) = \frac { x - 2 } { 3 }f(x)=3x−2​

Find the Inverse of the Function $f ( x ) = \frac { x - 2 } { 3 }$