Find a formula for the inverse of the function described below.
-A size 4 dress in Country C is size 40 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = 2(x + 16).
A) $f ^ { - 1 } ( x ) = \frac { x } { 2 } + 16$
B) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \mathrm { x } - 16$
C) $f ^ { - 1 } ( x ) = \frac { x } { 2 } - 16$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } - 16 } { 2 }$

Question

Find a formula for the inverse of the function described below.
-A size 4 dress in Country C is size 40 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = 2(x + 16). 
A) $f ^ { - 1 } ( x ) = \frac { x } { 2 } + 16$
B) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \mathrm { x } - 16$
C) $f ^ { - 1 } ( x ) = \frac { x } { 2 } - 16$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } - 16 } { 2 }$

Quizplus · Accepted Answer

To find the inverse, solve the equation $y = 2(x + 16)$ for $x$. This gives $x = \frac{y}{2} - 16$, so the inverse function is $f^{-1}(x) = \frac{x}{2} - 16$.

Find a Formula for the Inverse of the Function Described f−1(x)=x2+16f ^ { - 1 } ( x ) = \frac { x } { 2 } + 16f−1(x)=2x​+16

Find a Formula for the Inverse of the Function Described $f ^ { - 1 } ( x ) = \frac { x } { 2 } + 16$