Question

Find the domain of the composite function f & g
f(x)=1/5-x
g(x)=6/x

Answer 1

f(g(x))

and

g(f(x))

Answer 2

those are the two composites of the functions

Answer 3

do you understand how to solve the problem now?

Answer 4

No i don't.

Answer 5

f(g(x))=1/5-g(x)
f(6/x) = 1/5 - 6/x
f(g(x)) = 1/5 - 6/x

Answer 6

understand now?

Answer 7

g(x) is just a different way of writing y

it use to be that (x,y)
now you will see (x,f(x))

Answer 8

we use this notation because it helps prevent confusion and allows us to talk about a point easily

Answer 9

I still don't understand how you solve it any further than that.

Answer 10

f(x) = 1/5-x

f(1) = 1/5- 1
f(2) = 1/5 - 2
f(3) = 1/5 - 3
f(555) = 1/5 - 555

Therefore, knowing

g(x) = 6/x

f(g(x)) = 1/5 - 6/x

Answer 11

we are just subing one function into another I cant explain it any better than that

Answer 12

with math problems just look at what is changing and try to use logic to figure out why it is changing or at least recognize the pattern in the change so you can mimic said change

Answer 13

how is that the Domain?

Answer 14

???

Answer 15

Ya the question was to find the domian

Answer 16

oh its asking for the domain of the composite of the function sorry didnt read it

Answer 17

lol no wonder i was confused

Answer 18

f(g(x)) = 1/5 - 6/x

well REMEMBER You cannot divide by zero

Answer 19

so you should know what value of x is not present in the domain

Answer 20

do you know set notation?

Answer 21

ummm no

Answer 22

it would be

(-infinity, 0),(0, +infinity)

notice how I used round brackets on the 0 this is to say that everything infinitely close but not 0 is included in the domain,

if I used a square bracket it would mean zero is included in the set which it is not

Note: you always use round brackets with infinity

Answer 23

oh ok.

Answer 24

so is that the answer?