For the given function f(x), find f-1(x).
-$$f ( x ) = \frac { 5 } { x + 8 }$$
A) Not one-to-one
B) $f ^ { - 1 } ( x ) = \frac { 8 + 5 x } { x }$
C) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { - 8 \mathrm { x } + 5 } { \mathrm { x } }$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 8 + 5 \mathrm { x } }$

Question

Quizplus · Accepted Answer

To find the inverse, solve $y = \frac{5}{x + 8}$ for $x$. Rearranging gives $x = \frac{-8y + 5}{y}$, so $f^{-1}(x) = \frac{-8x + 5}{x}$.

For the Given Function F(x), Find F-1(x) f(x)=5x+8f ( x ) = \frac { 5 } { x + 8 }f(x)=x+85​

For the Given Function F(x), Find F-1(x) $f ( x ) = \frac { 5 } { x + 8 }$