Question

How to determine if two functions are inverse of each other?

Answer 1

HI!!

Answer 2

compose them and see if you get the identity

Answer 3

that is pretty unreadable, but check if
\[f(g(x))=x\] is so, the answer is "yes"

Answer 4

Hey Misty try clicking then it might zoom! :)

Answer 5

hmm then the answer must be yes

Answer 6

two functinos are inverses to each other means , fog = gof
find your fog and gof and then compare them both

Answer 7

ok let me try that

Answer 8

correct; f(g) may be x; but if g(f) is not also x, then f and g are not inverses

Answer 9

@misty1212 -1, ^3, -8

Answer 10

i might have misread your statement tho ... can be interpreted as an affirmative.

Answer 11

I think it would be yes, but I might of messed up

Answer 12

oh wait

Answer 13

when I did what @Ogziii said I got different solutions

Answer 14

"both functions are inverses of each other " lolol

Answer 15

well thats what I thought but I doubted myself

Answer 16

compose f into g and g into f and you should get x for both solution

Answer 17

what is f(1)?

Answer 18

or better, f(0) might be simpler to compute

Answer 19

f(0) = cbrt(0+8) + 1 = 3

g(3) should therefore at least give us 0 in order for this to have any shot at inverting.

g(3) = (3-1)^3 + 8 .... which isnt getting us back to 0 again is it?

Answer 20

I am confused with the last "+8", I believe it might be a "-8"

Answer 21

Because of that, I can't say they are inverse functions.........but they might ?? lol

Answer 22

oh its written as +8 :)

Answer 23

http://www.wolframalpha.com/input/?i=inverse+of+f%28x%29%3D%28x%2B8%29%5E%281%2F3%29+%2B+1

Answer 24

\[x ^{3}-3x ^{2}+3x-9 = (x-1)^{3}-8\]

Answer 25

That is why I don't see the +8