Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function.
-f(x)= 4x
A) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = - 4 \mathrm { x }$
B) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 4 }$
C) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 4 } { \mathrm { x } }$
D)not a one-to-one function

Question

Quizplus · Accepted Answer

The function $f(x) = 4x$ is one-to-one because for any two different inputs, it produces two different outputs. The inverse function is found by solving $y = 4x$ for $x$, giving $x = \frac{y}{4}$, so $f^{-1}(x) = \frac{x}{4}$.

Determine Whether the Given Function Is One-To-One f−1(x)=−4x\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = - 4 \mathrm { x }f−1(x)=−4x

Determine Whether the Given Function Is One-To-One $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = - 4 \mathrm { x }$