The function f is one-to-one. Find its inverse.
-$$f ( x ) = 2 x$$
A) $f ^ { - 1 } ( x ) = - 2 x$
B) $f ^ { - 1 } ( x ) = \frac { x } { 2 }$
C) $f ^ { - 1 } ( x ) = \frac { 2 } { x }$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = 2 \mathrm { x }$

Question

Quizplus · Accepted Answer

To find the inverse of a function, you swap the x and y and solve for y. For $f(x) = 2x$, setting $y = 2x$, then swapping gives $x = 2y$. Solving for y gives $y = \frac{x}{2}$, which means $f^{-1}(x) = \frac{x}{2}$.

The Function F Is One-To-One f(x)=2xf ( x ) = 2 xf(x)=2x

The Function F Is One-To-One $f ( x ) = 2 x$