Question

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

Explanation:

Step1: Find $f^{-1}(-2)$

Locate $-2$ in the $f(x)$ column, the corresponding $x$-value is $-7$, so $f^{-1}(-2) = -7$.

Step2: Compute $f(f^{-1}(-2))$

Substitute $f^{-1}(-2)=-7$, find $f(-7)$ using the table. The value of $f(-7)$ is $-2$.

Answer:

$-2$