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F(x)=3x2-2x+1 and g(x)=x-4 what restrictions if any are there for f(x)/g(x)

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Final answer:

The restriction for f(x)/g(x) is that x cannot be equal to 4 to ensure the denominator g(x) is not zero.

Step-by-step explanation:

The restrictions for the function f(x)/g(x) involve ensuring that the denominator, g(x), is not equal to zero, because division by zero is undefined in mathematics. In this specific case, since g(x) = x - 4, we need to restrict the domain such that x ≠ 4 to avoid division by zero. Therefore, the only restriction for f(x)/g(x) is that x ≠ 4.

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