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| Math Central | Quandaries & Queries |
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Question from Rita, a student: Find the difference quotient of f, that is, find [f (x + h) - f (x)]/h, where f(x) = 1/(x + 3) |
Hi Rita,
After substitution this is how your difference function of f looks:
Multiply the numerator and denominator of the right side by the greatest common denominator of 1/(x+3) and 1/(x+h+3) to greatly simplify the question. The answer is much more apparent after you get rid of the fractions in the numerator.
Hope this helps,
Janice
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