Wednesday

October 22, 2014

October 22, 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

**Answer this Question**

**Related Questions**

college - Evaluate the difference quotient for the given function. Simplify your...

Math - Evaluate the difference quotient for the given function. f(x)=1/x, f(x)-f...

Pre-calculus - The problem is Find the difference quotient and simplify your ...

Algebra problems - I have some problems that I would like checked please. Find ...

Algebra 1 - 1. Simplify the quotient (6.4 x 10^9) / (1.6 x 10^-3). Write the ...

Algebra II - Find the difference quotient for the following Rational Function f(...

Algebra - My problem is compute and simplify the difference quotient f(x+h)-f(x...

Algebra - Can you please check my work? You have helped other students I know. ...

Algebra (check my answers) - Please check these answers. Multiply -7(2a2 -4) = -...

Algebra 1 Answer Evaluation (Reiny) - Evaluate each expression for the given ...