Find the inverse of the one-to-one function. ? Y = 3x ? A) $f ^ { - 1 } ( x ) = 3 x ^ { 2 }$ B)f ^-1(x)= 3x C) $f ^ { - 1 } ( x ) = \frac { x } { 3 }$ D) $f ^ { - 1 } ( x ) = \frac { 3 } { x }$ E)f ^-1(x)= 9x

Question

Quizplus · Accepted Answer

To find the inverse of a function, we switch the roles of x and y and solve for y.  So, starting with y = 3x, we switch x and y and get x = 3y.  Solving for y, we get y = x/3.  Therefore, the inverse of the function y = 3x is y = x/3, which is choice C.

Find the Inverse of the One-To-One Function f−1(x)=3x2f ^ { - 1 } ( x ) = 3 x ^ { 2 }f−1(x)=3x2

Find the Inverse of the One-To-One Function $f ^ { - 1 } ( x ) = 3 x ^ { 2 }$