Considering the piece-wise function, the value of the function at x = 2, that is, g(2), is given by:
C. 1.
What is a piece-wise function?
It is a function that has different definitions based on the input.
In this problem, the function is defined by:
- [tex]g(x) = \left(\frac{1}{2}\right)^{x-3}, x < 2[/tex].
- [tex]g(x) = x^3 - 9x^2 + 27x - 25, x \geq 2[/tex].
Due to the equal sign, x = 2 is part of the second definition, hence:
g(2) = 2³ - 9(2)² + 27(2) - 25 = 1.
Which means that option C is correct.
More can be learned about piece-wise functions at https://brainly.com/question/24734454
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