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question evaluate \\(\\frac{x^2 + 1}{x^2 - 3x + 2}\\) for the value \\(…

Question

question

evaluate \\(\frac{x^2 + 1}{x^2 - 3x + 2}\\) for the value \\(x = 3\\).

provide your answer below:

Explanation:

Substitute the value into the numerator

Using the Evaluating Functions knowledge point

$$ 3^2 + 1 = 9 + 1 = 10 $$

Substitute the value into the denominator

Using the Evaluating Functions knowledge point

$$ 3^2 - 3(3) + 2 = 9 - 9 + 2 = 2 $$

Simplify the resulting fraction

Using the Fraction Arithmetic knowledge point

$$ \frac{10}{2} = 5 $$

Answer:

Evaluate \(\frac{x^2 + 1}{x^2 - 3x + 2}\) for the value \(x = 3\).

Provide your answer below:
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