For the given function f(x), find f-1(x).
-$$f ( x ) = - 2 x$$
A) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = - \frac { 2 } { \mathrm { x } }$
B) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = - \frac { \mathrm { x } } { 2 }$
C) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = 2 \mathrm { x }$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = 2 + \mathrm { x }$

Question

Quizplus · Accepted Answer

To find the inverse function f-1(x), we need to switch the places of x and y and solve for y. So,
$$x = -2y$$
Solving for y gives us:
$$y = -\frac{x}{2}$$
Therefore, the inverse function is:
$$f^{-1}(x) = -\frac{x}{2}$$

For the Given Function F(x), Find F-1(x) f(x)=−2xf ( x ) = - 2 xf(x)=−2x

For the Given Function F(x), Find F-1(x) $f ( x ) = - 2 x$