Question

How would I approach this problem?
For G(t)=t/(t+4), find and simplify [G(a+h)-G(a)]/h

Answer 1

the definition of a...(what)

Answer 2

I don't really understand the problem. :/ Where do I begin and what am I looking for?

Answer 3

http://www.teacherschoice.com.au/images/derivative_definition_formula.gif

Answer 4

Do you know how to evaluate G(a+h) given G(t)=t/(t+4)?

Answer 5

http://www.mathwords.com/d/difference_quotient.htm

Answer 6

{(a+h)/[(a+h)+4] - (t/t+4)}/h

I don't think you can simplify any further but I may be wrong.

Answer 7

well in that second fraction we need to replace the t's with a's
combine the fractions on top
get rid the compound fraction next
should be able to simplify and cancel things

Answer 8

Ohh, okay. I'll try to work it out through the example, thanks!