Graphs and Functions
Finding, evaluating, and interpreting an inverse function for a given linea...
Page
eenshot
Español
Rachel is walking. \( D(t) \), given below, is her distance in kilometers from Newbury Heights after \( t \) hours of walking.
\[
D(t)=13.5-5 t
\]
Complete the following statements.
Let \( D^{-1} \) be the inverse function of \( D \).
Take \( x \) to be an output of the function \( D \).
That is, \( x=D(t) \) and \( t=D^{-1}(x) \).
(a) Which statement best describes \( D^{-1}(x) \) ?
The amount of time she has walked (in hours) when she is \( x \) kilometers from Newbury Heights.
The reciprocal of her distance from Newbury Heights (in kilometers) after walking \( x \) hours.
Her distance from Newbury Heights (in kilometers) after she has walked \( x \) hours.
The ratio of the amount of time she has walked (in hours) to her distance from Newbury Heights (in kilometers), \( x \).
(b) \( D^{-1}(x)= \) \( \square \)
(c) \( D^{-1}(7.5)= \) \( \square \)
Explanation
Check
20. 2025 McGraw Hill LLC. All Rights Reserved.
Terms of Use
Privacy Center
Accessibility