Question

Can someone please check my answers?

1. Given f(x) = 1/x-1 and g(x) = 1/ x+4 , find the domain for (fog)(x)

I got (-oo,-3)U(-3,oo)


2. Given f(x) = sqrt(x+2) and g(x) = 1/x, find (fog)(x)

I got (fog)(x) = sqrt(1+2x/x)

Answer 1

fog?

Answer 2

f time g

Answer 3

\[(f\circ g)(x) = f(~g(x)~)\]@zimmah

Answer 4

Oh, right

Answer 5

Alright let's see then

Answer 6

First one seems correct to me, second one haven't checked yet

Answer 7

okay

Answer 8

i'd say the second one is not correct

Answer 9

what do yoy think it is?

Answer 10

Well, (fog)(x) means you put g(x) 'into' f(x).

You do this be replacing the 'x' in f(x) by the whole function of g(x). So

Replacing the x in sqrt(x+2) with 1/x

would make sqrt(1/x+2)

\[\sqrt{\frac{ 1 }{ x }+2}\]

Answer 11

ohh okay I see

Answer 12

Thank you

Answer 13

yw

Answer 14

I'm going to open another post with more questions, mind helping again?

Answer 15

sure, no problem

Answer 16

if you write @zimmah when i'm online (or other users you know that can help you like geerky) when they are online they will get an alert. Although I do also do other things in the main time so i may not always notice until hours later.