Consider the following graph of two functions.Step 3 of 4: Find (g.)(1)g(x)=-4x-210f(x) = 2x+4(8.5)(1)Enable Zoom/Pan5KA

The Solution:
Given:
We are required to find the value of (g.f)(1).
Note:
[tex](g.f)(1)=g(1).f(1)=g(1)\times f(1)[/tex]From the graph, when x = 1, g(1) = -6
[tex]\begin{gathered} g(1)=-6 \\ \\ f(1)=6 \\ \text{ So,} \\ (g.f)(1)=g(1).f(1)=g(1)\times f(1)=-6\times6=-36 \end{gathered}[/tex]Therefore, the correct answer is -36