004 Sample Final A, Problem 11

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Find and simplify the difference quotient for

2) How do you eliminate the in the denominator?
1) We have
2) The difference quotient is . To eliminate the in the denominator,
you need to multiply the numerator and denominator by (the conjugate).


Step 1:
The difference quotient is .
Step 2:
Multiplying the numerator and denominator by , we get
Step 3:
Now, simplifying the numerator, we get
. Now, we can cancel the in the denominator.
Thus, .
Final Answer:

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