Find f(a), f(a+h), and the difference quotient:

(f(a+h)-f(a)) divided by h
where h cannot equal 0

x/(x+1)

Question

Find f(a), f(a+h), and the difference quotient: 

(f(a+h)-f(a)) divided by h
where h cannot equal 0

x/(x+1)

cgreenwade2000 · Answer

Do you want to learn how to do these now?

anonymous · Answer

Yes!

anonymous · Answer

$$f(x)=\frac{ x }{ x+1 }$$  right?

So what are f(a) and f(a+h)?

cgreenwade2000 · Answer

Sorry. Was out for a moment.

If the above is your f(x), then to solve f(a) you simply substitute a in for all x in the equation.

For f(a+h), you would just substitute a+h for all x in the equation. You just have to make sure that the denominator does not equal 0.

cgreenwade2000 · Answer

After that, we would just find our answer by doing the above, f(a+h) - f(a) / h where h cant equal 0.