Question

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

Answer 1

The Solution:

Given:

We are required to find the value of (g.f)(1).

Note:

`(g.f)(1)=g(1).f(1)=g(1)* f(1)`

From the graph, when x = 1, g(1) = -6

`\begin{gathered} g(1)=-6 \\ \\ f(1)=6 \\ \text{ So,} \\ (g.f)(1)=g(1).f(1)=g(1)* f(1)=-6*6=-36 \end{gathered}`

Therefore, the correct answer is -36