Question

find $f(-11) - 4f^{-1}(2)$.\

$x$	$f(x)$	\
---	---	\
$1$	$-11$	\
$-7$	$4$	\
$-11$	$9$	\
$-3$	$-4$	\
$9$	$2$	\
$4$	$8$

Explanation:

Step1: Find \( f(-11) \)

From the table, when \( x = -11 \), \( f(-11)=9 \).

Step2: Find \( f^{-1}(2) \)

The inverse function \( f^{-1}(y) \) gives the \( x \) such that \( f(x)=y \). From the table, when \( f(x) = 2 \), \( x = 9 \), so \( f^{-1}(2)=9 \).

Step3: Calculate \( f(-11)-4f^{-1}(2) \)

Substitute the values: \( 9-4\times9=9 - 36=-27 \).

Answer:

\(-27\)