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)

Answer 1

Do you want to learn how to do these now?

Answer 2

Yes!

Answer 3

\[f(x)=\frac{ x }{ x+1 }\] right?

So what are f(a) and f(a+h)?

Answer 4

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.

Answer 5

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