## Shadly 2 years ago Which of the following functions is the inverse also the function? I) f(x)= X^3 II) f(x)= X^4 III) f(x)= - |X| They're can be multiple answers because my choices are a. I and II only c. I, II, and III b. I only d. III only

1. amistre64

also "a" function .. or also "the same" function?

Also a function, lol sorry

3. amistre64

odd degrees are functionable; even degrees need a restricted domain

4. amistre64

|dw:1373401421696:dw|

5. amistre64

|dw:1373401514303:dw|

6. tcarroll010

Choice #3 inverse is not a function: x = -|y| -> x = -(-y) or -y -> x = y or -y 2 different values of y for each x except for at the origin.

Okay, how do I figure out the other two?

8. tcarroll010

Well, it looks to me like @amistre64 gave you great help on the first 2.

I had no idea what she was doing

10. swissgirl

He is mister not a missus :P

11. tcarroll010

The 2 graphs in each post show the function and the inverse to the right of it. A picture tells a thousand words.

12. amistre64

graphwise .... -|x| is basically the same as -x^2

I dont really understand the graphs... I know the third one isn't a function and I'm guessing the first isn't either...

14. amistre64

do you know what a degree is?

no

16. amistre64

the exponent ...

17. amistre64

x^(even) is not invertible without restricting its domain x^(odd) is invertible

okay

I think I got it thanks ^_^

20. amistre64

good luck :)

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