Question

use the graphs to evaluate the expressions below.

$f(g(5)) = square$

$g(f(1)) = square$

$f(f(3)) = square$

$g(g(2)) = square$

question help: video message instructor

Explanation:

For \( f(g(5)) \):

Step1: Find \( g(5) \)

From the graph of \( g(x) \), when \( x = 5 \), \( g(5)=1 \).

Step2: Find \( f(g(5)) = f(1) \)

From the graph of \( f(x) \), when \( x = 1 \), \( f(1)=5 \).

Step1: Find \( f(1) \)

From the graph of \( f(x) \), when \( x = 1 \), \( f(1)=5 \).

Step2: Find \( g(f(1)) = g(5) \)

From the graph of \( g(x) \), when \( x = 5 \), \( g(5)=1 \).

Step1: Find \( f(3) \)

From the graph of \( f(x) \), when \( x = 3 \), \( f(3)=3 \).

Step2: Find \( f(f(3)) = f(3) \)

From the graph of \( f(x) \), when \( x = 3 \), \( f(3)=3 \).

Answer:

\( 5 \)

For \( g(f(1)) \):