Difference Quotients: Can They Be Interchanged?

[Apost8]

This isn't a homework question, but I'm wondering if the following two equations can always be used interchangeably (thanks in advance):

f(x)-f(c)/(x-c)

and

f(a+h)-f(a)/h

 

[Data]

yes, it's just substituting x for a+h and c for a, so then h = x-c.

 

[arildno]

Do not double post!

 

[Apost8]

yes, it's just substituting x for a+h and c for a, so then h = x-c.

Thanks for your help.

Do not double post!

No need to get upset. I accidentally posted in the wrong section, I apologize. Thanks for your help as well.

 

[HallsofIvy]

The problem I have with your post is that neither of the "equations" you give is an equation! (The lack of and "= " is a sure sign!)