Question

evaluate $f(g(2))$ and $g(f(6))$ using the table given below.

$x$	$f(x)$	$g(x)$
1	6	5
2	5	6
3	8	2
4	4	1
5	0	8
6	2	7

Explanation:

Step1: Find $g(2)$ from table

From the table, when $x=2$, $g(2)=6$

Step2: Compute $f(g(2))=f(6)$

From the table, when $x=6$, $f(6)=2$

Step3: Find $f(6)$ from table

From the table, when $x=6$, $f(6)=2$

Step4: Compute $g(f(6))=g(2)$

From the table, when $x=2$, $g(2)=6$

Answer:

$f(g(2))=2$
$g(f(6))=6$