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Given the functions f(x)=x² −4x+4 and g(x)= x​ −11​ i. Find the domain of f(x) and g(x).

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Final answer:

The domain of both functions, f(x)=x² - 4x + 4 and g(x) = x - 11, includes all real numbers, as there are no mathematical restrictions that limit the x-values for either function.

Step-by-step explanation:

The domain of a function represents all the possible input values (x-values) that the function can accept. The function f(x) = x² - 4x + 4 is a quadratic function, and its domain includes all real numbers since there are no restrictions on the x-values for a quadratic equation. Therefore, the domain of f(x) is all real numbers, or (-∞, ∞).

The function g(x) = x - 11 appears to be a linear function based on the expression provided. Since there are no restrictions or operations that would limit the x-values (such as a square root or a denominator that could be zero), the domain of g(x) is also all real numbers.

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