pre-calculus question help

[watchthesky30]

How do i solve this?

1) (f(a+h)-f(a)) ÷ h

this is what you need to solve this question (i already did them):
f(a+h) = (2a+2h) ÷ (a+h-1)
f(a) = (2a) ÷ (a-1)

I'm getting stuck at (3h/a+h-1) ÷ (h-1)
i don't know how to go on from there.

 

[Deleted member 4993]

How do i solve this?

1) (f(a+h)-f(a)) ÷ h

this is what you need to solve this question (i already did them):
f(a+h) = (2a+2h) ÷ (a+h-1)
f(a) = (2a) ÷ (a-1)

I'm getting stuck at (3h/a+h-1) ÷ (h-1) <<< This is incorrect
i don't know how to go on from there.

\(\displaystyle \frac{\frac{2a+2h}{a+h-1} - \frac{2a}{a-1}}{h}\)

\(\displaystyle = \frac{\frac{(2a+2h)(a-1) - 2a(a+h-1)}{(a-1)(a+h-1)}}{h}\)

\(\displaystyle = \frac{\frac{- 2h}{(a-1)(a+h-1)}}{h}\)

Now continue....