Question

Given f(x)=1/"absolute value x" with the following: f(2+h) where h>0.

Answer 1

\[f(x)=1/\left| x \right|\]

Answer 2

I think the answer is f(x)=1/(-2-h)

Answer 3

what is the question?

Answer 4

if \(h>0\) then \(f(h+2)=\dfrac{1}{|h+2|}=\dfrac{1}{h+2}\)

Answer 5

oh whoops i was thinking of it differently, but i guess that's right.

Answer 6

If we had \(h<-2\) then we would have \(x+2<0\) so \(f(h+2)=\dfrac{1}{h+2}=\dfrac{1}{-(h+2)}=\dfrac{1}{-h-2}=\dfrac{-1}{h+2} \)

Answer 7

so that's the reason behind the answer?

Answer 8

well i got it so thank you

Answer 9

that was the reasoning behind a different answer.