Question

Evaluating Functions, Simplify
9.) f(x)= 1/(sqrt x-1)
f(x)-f(2)/x-2

Answer 1

so what is f(2)?

Answer 2

idk

Answer 3

So plug 2 into the first equation to find f(2):
f(2) = 1/(sqrt 2 - 1)

Then plug this into the second expression:
[f(x) - f(2)]/[x-2] = [(1/(sqrt x -1)) - (1/(sqrt 2 - 1))]/(x-2)

Then simplify.

Answer 4

\[\frac{f(x)-f(2) }{ x-2 } = \frac{ \frac{ 1 }{ \sqrt{x} -1 } - \frac{ 1 }{ \sqrt{2} -1} }{ x-2 }\]

Answer 5

okay i got to 1/sqrt -1 - sqrt1 all over x-2