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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

Consider The Following Graph Of Two FunctionsStep 3 Of 4 Find G1gx4x210fx 2x4851Enable ZoomPan5KA class=

Sagot :

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

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