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

Question

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

adamaero · Answer

the definition of a...(what)

anonymous · Answer

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

adamaero · Answer

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

freckles · Answer

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

anonymous · Answer

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

anonymous · Answer

{(a+h)/[(a+h)+4] - (t/t+4)}/h

I don't think you can simplify any further but I may be wrong.

freckles · Answer

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

anonymous · Answer

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