Evaluation of a function:
Evaluate
for
at x = 2.
In the first term in the numerator, we substitute the quantity
in place of x in the original function. Consequently, this quantity will be squared and multiplied by 3, etc.
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Expanding the square and simplifying the other terms, we get
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Combining terms, we see that the x2, x and constant terms eliminate. This always happens when f(x) is a polynomial.
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Now we divide by
:
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Finally we evaluate this ratio at x = 2:
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