Question

the function f(x) is invertible. find $f^{-1}(40)$.

x	f(x)
-24	40
-22	91
-20	30
-18	-70

$f^{-1}(40) = \square$

Explanation:

Step1: Recall inverse function definition

The inverse function \( f^{-1}(y) \) gives the \( x \) such that \( f(x) = y \). So we need to find \( x \) where \( f(x) = 40 \).

Step2: Look at the table

From the table, when \( f(x) = 40 \), the corresponding \( x \) value is \( -24 \).

Answer:

\( -24 \)