Find the inverse of the function.
$$f ( x ) = \frac { 1 + 8 x } { 8 - 5 x }$$
A)
$f ^ { - 1 } ( x ) = \frac { 8 x - 1 } { x + 8 }$
B)
$f ^ { - 1 } ( x ) = \frac { 8 x - 1 } { 5 x + 8 }$
C)
$f ^ { - 1 } ( x ) = \frac { x - 1 } { 5 x + 8 }$
D)
$f ^ { - 1 } ( x ) = \frac { 8 x - 1 } { 8 x + 5 }$
E)
$f ^ { - 1 } ( x ) = \frac { 5 x - 1 } { 5 x + 8 }$

Question

Quizplus · Accepted Answer

To find the inverse, swap $x$ and $y$ in the equation $y = \frac{1 + 8x}{8 - 5x}$, solve for $x$, and then express $x$ in terms of $y$. The correct inverse function is $f^{-1}(x) = \frac{8x - 1}{5x + 8}$.

Find the Inverse of the Function f(x)=1+8x8−5xf ( x ) = \frac { 1 + 8 x } { 8 - 5 x }f(x)=8−5x1+8x​

Find the Inverse of the Function $f ( x ) = \frac { 1 + 8 x } { 8 - 5 x }$