# Calculus AP

posted by
**jackie**
.

i wanna KNOW IF im DOING RIGHT.

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