Answer:
• (b)(g o f)(0) = 6
,
• (c) (f o g)(-1) = 2
,
• (d) (f o g)(4)= 1
Explanation:
Part B: (g o f)(0)
[tex]\begin{gathered} (g\circ f)(0)=g[f(0)] \\ \text{From the graph, f(0)=1. Therefore:} \\ (g\circ f)(0)=g[1] \\ \implies(g\circ f)(0)=6 \end{gathered}[/tex]
The value of (g o f)(0) is 6.
Part C: (fog)(-1)
[tex]\begin{gathered} (f\circ g)(-1)=f[g(-1)] \\ \text{ From the graph, }g(-1)=5 \\ (f\circ g)(-1)=f[g(-1)]=f(5) \\ \implies(f\circ g)(-1)=2 \end{gathered}[/tex]
The value of (f o g)(-1) is 2.
Part D: (f o g)(4)
[tex]\begin{gathered} (f\circ g)(4)=f[g(4)] \\ \text{ From the graph, }g(4)=4 \\ \text{ Therefore: }(f\circ g)(4)=f[g(4)]=f(4) \\ \implies(f\circ g)(4)=1 \end{gathered}[/tex]
The value of (f o g)(4) is 1.
