The function f is one-to-one. Find its inverse.
-f(x)= 4x
A) $f ^ { - 1 } ( x ) = - 4 x$
B) $f ^ { - 1 } ( x ) = \frac { 4 } { x }$
C) $f ^ { - 1 } ( x ) = 4 x$
D) $f ^ { - 1 } ( x ) = \frac { x } { 4 }$

Question

The function f is one-to-one. Find its inverse.
-f(x)= 4x 
A) $f ^ { - 1 } ( x ) = - 4 x$
B) $f ^ { - 1 } ( x ) = \frac { 4 } { x }$
C) $f ^ { - 1 } ( x ) = 4 x$
D) $f ^ { - 1 } ( x ) = \frac { x } { 4 }$

Quizplus · Accepted Answer

To find the inverse of a function, you swap the x and y and solve for y. For $f(x) = 4x$, setting $y = 4x$, then swapping gives $x = 4y$. Solving for y gives $y = \frac{x}{4}$, which means $f^{-1}(x) = \frac{x}{4}$.

The Function F Is One-To-One f−1(x)=−4xf ^ { - 1 } ( x ) = - 4 xf−1(x)=−4x

The Function F Is One-To-One $f ^ { - 1 } ( x ) = - 4 x$