For the given function f(x), find f-1(x).
-f(x) = 8x
A) $f ^ { - 1 } ( x ) = 8 x$
B) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 8 }$
C) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = 8 + \mathrm { x }$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 8 } { \mathrm { x } }$

Question

For the given function f(x), find f-1(x).
-f(x) = 8x 
A) $f ^ { - 1 } ( x ) = 8 x$
B) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 8 }$
C) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = 8 + \mathrm { x }$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 8 } { \mathrm { x } }$

Quizplus · Accepted Answer

To find the inverse function $f^{-1}(x)$, you swap $x$ and $y$ and solve for $y$. Starting with $y = 8x$, swapping gives $x = 8y$, and solving for $y$ gives $y = \frac{x}{8}$, which is option B.

For the Given Function F(x), Find F-1(x) f−1(x)=8xf ^ { - 1 } ( x ) = 8 xf−1(x)=8x

For the Given Function F(x), Find F-1(x) $f ^ { - 1 } ( x ) = 8 x$