The function ๐(๐ฅ)=๐ฅ2โ9๐ฅโ3 can be made continuous at ๐ฅ=3 by defining ๐(3) to be:Group of answer choices96-6-9
Question
The function ๐(๐ฅ)=๐ฅ2โ9๐ฅโ3 can be made continuous at ๐ฅ=3 by defining ๐(3) to be:Group of answer choices96-6-9
Solution
The function f(x) = x^2 - 9x - 3 is a polynomial function, and polynomial functions are continuous everywhere in their domain. Therefore, the function is already continuous at x = 3.
However, if you want to find the value of the function at x = 3, you can substitute x = 3 into the function:
f(3) = (3)^2 - 9*(3) - 3 = 9 - 27 - 3 = -21
So, f(3) = -21.
The options you provided (96, -6, -9) do not include this result. There might be a mistake in the question or the provided options.
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