Posted by Anonymous on Thursday, April 16, 2009 at 9:02pm.
Which of the following are inverse functions?
1. Arcsin x and sin x
2. cos^-1 x and cos x
3. csc x and sin x
4. e^x and ln x
5. x^2 and +/- sqrt x
6. x^3 and cubic root of x
7. cot x and tan x
8. sin x and cos x
9. log x/3 and 3^x
I believe the answers are 2, 4, 6, and 9, but how come not the rest, especially csc/sin and cot/tan?
Thank you very much!
- math (repost) - Reiny, Thursday, April 16, 2009 at 9:42pm
pick any x
perform the first operation
perform the second operation on that answer.
did I get back the original x ?
cscx and sinx, cotx and tanx are reciprocal functions, not inverses
my choices of inverse are:
(how did you figure #9 represents an inverse ???)
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