Question

functions $f(x)$ and $g(x)$ are defined in the tables below. use the tables to evaluate the functions.

$x$	-3	-2	0	1	4	5	8	10	12

$x$	0	2	3	4	5	8	9	11	15

a. $g(4) = \square$

b. $g(3) - f(-2) = \square$

c. $g(f(5)) = \square$

Explanation:

Step1: Find g(4) from g(x) table

Look up x=4 in g(x) table: $g(4)=10$

Step2: Calculate g(3)-f(-2)

Find $g(3)=5$ and $f(-2)=6$, then compute $5-6=-1$

Step3: Calculate g(f(5))

First find $f(5)=8$, then look up $g(8)=2$

Answer:

a. $10$
b. $-1$
c. $2$