I come across this math problem:
[MATH] f(x)=\frac{1}{\sqrt{x-1}} , when : \displaystyle\frac{f(x)-f(2)}{x-2} [/MATH]
I know this is the answer from the book :
[MATH]\displaystyle\frac{-1}{\sqrt{x-1}(1+\sqrt{x+1})} , x \neq 2 [/MATH]
but can someone help me in some way with this exercise, but step by step and well detailed? thank you.
[MATH] f(x)=\frac{1}{\sqrt{x-1}} , when : \displaystyle\frac{f(x)-f(2)}{x-2} [/MATH]
I know this is the answer from the book :
[MATH]\displaystyle\frac{-1}{\sqrt{x-1}(1+\sqrt{x+1})} , x \neq 2 [/MATH]
but can someone help me in some way with this exercise, but step by step and well detailed? thank you.