Find the inverse of the function.
-$$f ( x ) = \frac { 4 } { x + 7 }$$
A) $f ^ { - 1 } ( x ) = \frac { x } { 7 + 4 x }$
B) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 7 + 4 \mathrm { x } } { \mathrm { x } }$
C) Not a one-to-one function
D) $f ^ { - 1 } ( x ) = \frac { - 7 x + 4 } { x }$

Question

Quizplus · Accepted Answer

To find the inverse, swap $x$ and $y$ in the equation $y = \frac{4}{x+7}$ and solve for $y$. This gives $x = \frac{4}{y+7}$, leading to $y = \frac{-7x + 4}{x}$.

Find the Inverse of the Function f(x)=4x+7f ( x ) = \frac { 4 } { x + 7 }f(x)=x+74​

Find the Inverse of the Function $f ( x ) = \frac { 4 } { x + 7 }$