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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 h does not = 0 for the given function. Be sure to simplify. 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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