homework 3.4: composition of functions\npractice score: 2/12 answered: 2/12\nquestion 3\nuse the graphs to…

homework 3.4: composition of functions\npractice score: 2/12 answered: 2/12\nquestion 3\nuse the graphs to evaluate the expressions below.\n\nf(g(1))=\ng(f(4))=\nf(f(3))=\ng(g(5))=\nquestion help: video\nsubmit question

homework 3.4: composition of functions\npractice score: 2/12 answered: 2/12\nquestion 3\nuse the graphs to evaluate the expressions below.\n\nf(g(1))=\ng(f(4))=\nf(f(3))=\ng(g(5))=\nquestion help: video\nsubmit question

Answer

Explanation:

Step1: Find g(1)

From the graph of (g(x)), when (x = 1), (g(1)=0).

Step2: Find f(g(1))

Since (g(1) = 0), then find (f(0)) from the graph of (f(x)). When (x = 0), (f(0)=5). So (f(g(1))=5).

Step3: Find f(4)

From the graph of (f(x)), when (x = 4), (f(4)=3).

Step4: Find g(f(4))

Since (f(4)=3), then find (g(3)) from the graph of (g(x)). When (x = 3), (g(3)=4). So (g(f(4)) = 4).

Step5: Find f(3)

From the graph of (f(x)), when (x = 3), (f(3)=2).

Step6: Find f(f(3))

Since (f(3)=2), then find (f(2)) from the graph of (f(x)). When (x = 2), (f(2)=4). So (f(f(3))=4).

Step7: Find g(5)

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

Step8: Find g(g(5))

Since (g(5)=1), then find (g(1)) from the graph of (g(x)). When (x = 1), (g(1)=0). So (g(g(5))=0).

Answer:

(f(g(1)) = 5) (g(f(4)) = 4) (f(f(3)) = 4) (g(g(5)) = 0)