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Answer :
Final answer:
The value of f(4) - f(0) for the function f(x) =3x² +6x -9 is calculated as 72 by substituting the values in the given function and then finding the difference.
Explanation:
Given the function f(x) = 3x² +6x -9, we first calculate f(4) by substituting x=4 in the function. So, f(4) = 3*(4^2) + 6*4 - 9 = 48 + 24 - 9 = 63.
Next, we find f(0) by substituting x=0 in the function, which gives f(0) = 3*(0^2) + 6*0 - 9 = -9.
Finally, find the difference between f(4) and f(0), i.e., f(4) - f(0) = 63 - (-9) = 72.
So, the value of f(4)-f(0) for the function f(x) =3x² +6x -9 is 72.
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