FallonU262828 FallonU262828
  • 25-10-2022
  • Mathematics
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Given the following piecewise function, determine the value of g(4) - 3g(3).

Given the following piecewise function determine the value of g4 3g3 class=

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GarnetO274054 GarnetO274054
  • 25-10-2022

Piecewise Function

We are given the piecewise function shown in the figure.

We are required to calculate g(4) - 3g(3).

First, we calculate g(4). Since 4 is greater than 3, we use the second function:

[tex]g(4)=4^4+4^2+4-3=273[/tex]

Now we need to calculate g(3). We use the same function because 3 is greater or equal to 3:

[tex]g(3)=3^4+3^2+3-3=90[/tex]

Now we calculate:

g(4) - 3g(3) = 273 - 3*90 = 273 - 270 = 3

Answer: 3

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