Question

Given the following piecewise function, determine the value of g(4) - 3g(3).

Answer 1

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:

`g(4)=4^4+4^2+4-3=273`

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

`g(3)=3^4+3^2+3-3=90`

Now we calculate:

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

Answer: 3