Find the inverse of the function.
-$$f ( x ) = 2 x - 5$$
A) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } - 5 } { 2 }$
B) Not a one-to-one function
C) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } + 5 } { 2 }$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 2 } + 5$

Question

Quizplus · Accepted Answer

To find the inverse, swap $x$ and $y$ and solve for $y$: $x = 2y - 5$ leads to $y = \frac{x + 5}{2}$.

Find the Inverse of the Function f(x)=2x−5f ( x ) = 2 x - 5f(x)=2x−5

Find the Inverse of the Function $f ( x ) = 2 x - 5$