Let $\mathrm { f } ( \mathrm { x } )$ compute the time in hours to travel $x$ miles at 49 miles per hour. What does $\mathrm { f } ^ { - 1 } ( \mathrm { x } )$ compute?
A) The hours taken to travel $x$ miles at 49 miles per hour
B) The hours taken to travel 49 miles
C) The miles traveled in $x$ hours at 49 miles per hour
D) The miles traveled in 49 hours

Question

Quizplus · Accepted Answer

$\mathrm { f } ^ { - 1 } ( \mathrm { x } )$ represents the inverse function of $\mathrm { f } ( \mathrm { x } )$, which computes the original input (miles) given the output (time). Since $\mathrm { f } ( \mathrm { x } )$ calculates the time to travel $x$ miles at 49 mph, its inverse, $\mathrm { f } ^ { - 1 } ( \mathrm { x } )$, calculates the distance traveled in $x$ hours at 49 mph.

Let f(x)\mathrm { f } ( \mathrm { x } )f(x)

Let $\mathrm { f } ( \mathrm { x } )$