### Home > PC3 > Chapter 2 > Lesson 2.2.5 > Problem2-116

2-116.

​Use the functions below to evaluate each of the following expressions.

 $f(x)=-4x-10$
 $x$ $g(x)$ –3 –4 –2 –1 –1 5 0 6 1 –9 2 –5 3 7
1. $f(g(1))$

$f(−9)$

2. $f^{-1}(g(-3))$

$f^{−1}(−4)$

Solve: $−4=−4x−10$

3. $g^{-1}(f^{-1}(-6))$

To determine $f^{−1}(−6)$, solve $−6=−4x−10$.