Question

inverse relations and functions
e of an inverse on your own.
to perform any calculations.
type your answer and then click done.
let $f(x) = \frac{3x - 27}{14}$.
find $f(f^{-1}(241))$.

Explanation:

Step1: Recall the property of inverse functions

For a function \( f \) and its inverse \( f^{-1} \), the composition \( f(f^{-1}(x)) \) satisfies the property that \( f(f^{-1}(x)) = x \) for all \( x \) in the domain of \( f^{-1} \) (and also in the range of \( f \)).

Step2: Apply the property to the given problem

In this problem, we are asked to find \( f(f^{-1}(241)) \). Using the property \( f(f^{-1}(x)) = x \), we substitute \( x = 241 \). So, \( f(f^{-1}(241)) = 241 \).

Answer:

241