Question

Someone check my answer for this problem?

I just found a random image of a composite function so i can practice finding domain and range?
I will post the picture.

The answer i got is:

D;[ 0,5 ]
R: [1,5]

Answer 1

@amistre64

Answer 2

hello :D

Answer 3

Well which line are you looking at?

Answer 4

both

Answer 5

g(x) or f(x)

Answer 6

ok

Answer 7

im answering for g(f(x))

Answer 8

for f(g(x)) domain and range is [-4,4] and range is [-2,4]

Answer 9

The domain of a composite function is the more restrictive domain or the intersection of
the domains.

Answer 10

so did i find it right?

Answer 11

Not quite, intersection of [0,6] and [-4,4] is [0,4].

Answer 12

The range is correct though.

Answer 13

for which one?

Answer 14

cause i followed this. http://openstudy.com/users/lordofpens#/updates/543f0ab3e4b0bad12946b988

Answer 15

For the first g(f(x)).

Answer 16

ok let me see check

Answer 17

i get [0.5] for the domain though

Answer 18

and to get the range, i plugged in [0,5] in f(x) and found the range of [-2,4] and i plugged this range into g(x) and got the range of [1,5]

Answer 19

Yeah f(5)=5 in [1,5]. You're right !
Checked the second, also correct.

Answer 20

@pgpilot326

Answer 21

can i have your input since you taught me how to do it as well :D?