Thunderstxrms
Thunderstxrms Thunderstxrms
  • 16-10-2021
  • Mathematics
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Use the graph to find (gof)(-4)

Use the graph to find gof4 class=

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jimthompson5910 jimthompson5910
  • 16-10-2021

Answer:  2

Explanation:

The notation (g o f)(-4) is the same as saying g( f(-4) ). Note the order of g and f are kept the same between the notation styles.

The inner function f(-4) is computed first. We then work our way outward.

The graph f(x) shows that plugging x = -4 leads to y = 0.

Because f(-4) = 0, this indicates g( f(-4) ) becomes g( 0 )

We then repeat this process of using the graph but this time for the g(x) function. We see that g(0) = 2.

Therefore, g( f(-4) ) = 2

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