The graph of a function f is given. Use the graph to find the indicated value.
-Let f(x) compute the time in hours to travel x miles at 39 miles per hour. What does $\mathrm { f } ^ { - 1 } ( \mathrm { x } )$ compute?
A) The hours taken to travel 39 miles
B) The miles traveled in x hours at 39 miles per hour
C) The hours taken to travel x miles at 39 miles per hour
D) The miles traveled in 39 hours

Question

Quizplus · Accepted Answer

The inverse function $f^{-1}(x)$ essentially reverses the operation of $f(x)$, so if $f(x)$ computes the time to travel x miles at 39 miles per hour, $f^{-1}(x)$ computes the distance traveled in x hours at that speed.

The Graph of a Function F Is Given f−1(x)\mathrm { f } ^ { - 1 } ( \mathrm { x } )f−1(x)

The Graph of a Function F Is Given $\mathrm { f } ^ { - 1 } ( \mathrm { x } )$