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Answer :
The value of the function f(x) = (3x² + x) / x at x = -2 is -5. As x approaches -2, the numerator approaches 10 and the denominator approaches -2, resulting in the function's value converging to -5.
The given function is : f(x) = (3x² + x) / x.
In this case, when calculating f(-2), we substitute -2 for x in the given expression:
f(-2) = (3(-2)² + (-2)) / -2
= (3(4) - 2) / -2
= (12 - 2) / -2
= 10 / -2
= -5
Therefore, the value of the function f(x) at x = -2 is -5.
This outcome makes sense because as x approaches -2, the numerator (3x² + x) also approaches a value of 10, while the denominator approaches -2. So, the fraction converges to -5, which is the value of the function at x = -2.
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