If the function is one-to-one, find its inverse. If not, write "not one-to-one."
-$$f ( x ) = - 8 x + 1$$
A) $f ^ { - 1 } ( x ) = - \frac { 1 } { 8 } x + \frac { 1 } { 8 }$
B) $f ^ { - 1 } ( x ) = - \frac { 1 } { 8 } x - \frac { 1 } { 8 }$
C) $f ^ { - 1 } ( x ) = - \frac { 1 } { 8 } x + 1$
D) $f ^ { - 1 } ( x ) = - \frac { 1 } { 8 } x - 1$

Question

Quizplus · Accepted Answer

To find the inverse of a one-to-one function $f(x) = -8x + 1$, we swap $x$ and $y$ and solve for $y$. So, $x = -8y + 1$, solving for $y$ gives $y = -\frac{1}{8}x + \frac{1}{8}$, which matches choice A.

If the Function Is One-To-One, Find Its Inverse f(x)=−8x+1f ( x ) = - 8 x + 1f(x)=−8x+1

If the Function Is One-To-One, Find Its Inverse $f ( x ) = - 8 x + 1$