A one-to-one function is given. Write an expression for the inverse function.
-$$f ( x ) = \frac { 6 - x } { 2 }$$
A) $f ^ { - 1 } ( x ) = \frac { 6 - 2 x } { x }$
B) $f ^ { - 1 } ( x ) = 6 - 2 x$
C) $f ^ { - 1 } ( x ) = 6 + 2 x$
D) $f ^ { - 1 } ( x ) = \frac { 6 + 2 x } { x }$

Question

Quizplus · Accepted Answer

To find the inverse function, solve the equation $y = \frac{6 - x}{2}$ for $x$. Multiplying both sides by 2 gives $2y = 6 - x$, and then solving for $x$ gives $x = 6 - 2y$. Replacing $y$ with $x$ for the inverse function notation, we get $f^{-1}(x) = 6 - 2x$.

A One-To-One Function Is Given f(x)=6−x2f ( x ) = \frac { 6 - x } { 2 }f(x)=26−x​

A One-To-One Function Is Given $f ( x ) = \frac { 6 - x } { 2 }$