Question

use the graphs to evaluate the expressions below.
$f(g(1)) = $
$g(f(3)) = $
$f(f(2)) = $
$g(g(4)) = $
question help: video message instructor

Explanation:

Step1: Find $g(1)$ from graph

From $g(x)$ graph, $g(1)=4$

Step2: Find $f(g(1))=f(4)$

From $f(x)$ graph, $f(4)=0$

Step3: Find $f(3)$ from graph

From $f(x)$ graph, $f(3)=4$

Step4: Find $g(f(3))=g(4)$

From $g(x)$ graph, $g(4)=2$

Step5: Find $f(2)$ from graph

From $f(x)$ graph, $f(2)=1$

Step6: Find $f(f(2))=f(1)$

From $f(x)$ graph, $f(1)=3$

Step7: Find $g(4)$ from graph

From $g(x)$ graph, $g(4)=2$

Step8: Find $g(g(4))=g(2)$

From $g(x)$ graph, $g(2)=3$

Answer:

$f(g(1))=0$
$g(f(3))=2$
$f(f(2))=3$
$g(g(4))=3$