On the day when Julie left for her vacation, the function that converted U.S. dollars to British pounds was f(x)= 0.54521 x , where x is the number of U.S. dollars and f(x) is the number of British pounds. Find the inverse function.
A) $f ^ { - 1 } ( x ) = \frac { x } { 0.54521 }$
B) $f ^ { - 1 } ( x ) = x - 0.54521$
C) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 0.54521 } { \mathrm { x } }$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 0.54521 \mathrm { x } }$

Question

On the day when Julie left for her vacation, the function that converted U.S. dollars to British pounds was  f(x)=   0.54521 x , where  x  is the number of U.S. dollars and  f(x)  is the number of British pounds. Find the inverse function.
A) $f ^ { - 1 } ( x ) = \frac { x } { 0.54521 }$
B) $f ^ { - 1 } ( x ) = x - 0.54521$
C) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 0.54521 } { \mathrm { x } }$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 0.54521 \mathrm { x } }$

Quizplus · Accepted Answer

The inverse function $f^{-1}(x)$ is found by solving for $x$ in terms of $f(x)$, which leads to $x = \frac{f(x)}{0.54521}$, thus $f^{-1}(x) = \frac{x}{0.54521}$.

On the Day When Julie Left for Her Vacation, the Function