Question

A.Use composition to prove whether or not the functions are inverses of each other.
B.Express the domain of the compositions using interval notation.
https://ignitiumwa.ignitiaschools.com/media/g_alg02_ccss_2016/1/g_alg02u01l09_q12_ps.gif

This is what I got for A
g(1/x-3)=x, f(3x+1/x)=x

Answer 1

ok @fran345 do you know how to find inverse functions?

Answer 2

Not that much. I know you switch the range with the domain.

Answer 3

ok, for A, I am not sure if use composition means this: f(g(x))
but I go with my way

Answer 4

so yes, they are inverses of each other

Answer 5

@fran345

Answer 6

ok, would the domain be (-infinity, infinity) for both?

Answer 7

not quite right, domain is what x can and cannot be
you cannot have a fraction with 0 as the denominator

Answer 8

so for f (x), what would make the bottom = 0

Answer 9

3?

Answer 10

yep so for domain, x cannot be 3

Answer 11

tell me, what would it be in interval notation

Answer 12

(0,3)?

Answer 13

(- infinity, 3) U (3, infinity)

Answer 14

because any other x value will be ok

Answer 15

ok, is that the same for g(x)?

Answer 16

well for g (x), what would make the bottom 0

Answer 17

3?

Answer 18

0 :D

Answer 19

ok write in interval notation

Answer 20

(-infinity, infinity)

Answer 21

(- infinity, 0) U (0, infinity)

Answer 22

btw, do you know what the "U" is

Answer 23

union

Answer 24

kk goodie

Answer 25

but do you see how to do it?

Answer 26

yes

Answer 27

I'm working on getting a extra help after school, but thanks for your help.

Answer 28

ok np