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April 16, 2014

April 16, 2014

Posted by **jackie** on Monday, June 4, 2012 at 9:34pm.

Evaluate the difference quotient for the given function. Simplify your answer.

f(x)=x+3/x+1, [f(x)-f(1)]/(x-1)

simplify my answer:

[(x+3)/(x+1) - (1+3)/(1+1)]/(x-1)

= [x+3/x+1 - 4/2] / (x-1)

= [2(x+3)-4(x+1)/2(x+1)] / (x-1)

= [2x+6-4x-4/2(x+1)] / (x-1)

= [-2x+2x/2(x+1)] /(x-1)

= [-2(x-1)/2(x+1)]/(x-1)

so my answer is -1

- Calculus AP -
**jackie**, Monday, June 4, 2012 at 9:35pmi mean my answer is -1/(x+1)

- Calculus AP -
**Reiny**, Monday, June 4, 2012 at 10:19pmcorrect,

but why didn't you reduce the 4/2 in the second step to 2, it would have made the algebra a lot easier.

- Calculus AP -
**jackie**, Monday, June 4, 2012 at 11:21pmoh 4/2 is 2. ok

thanks

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