SOLUTION: Evaluate the difference quotient for the given function. Symplify the answer. (1/x - 1/a)/x-a

SOLUTION: Evaluate the difference quotient for the given function. Symplify the answer. (1/x - 1/a)/x-a

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Question 209204: Evaluate the difference quotient for the given function. Symplify the answer.
(1/x - 1/a)/x-a
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
( 1/x -1/a) / (x-a),,,,,,,LCD = ax
.
(a-x)/(ax) * 1/(x-a),,,,invert and multiply
.
(a-x) / (ax) * 1/-1(a-x),,,,,,simplify by canceling like terms
.
-1/ax,,,,answer
,
check,,,let a=2..x=3,,,,both original and answer = -1/6,,,ok
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