## anonymous 5 years ago Find a formula for the inverse of the function. f(x) = ex5

1. anonymous

It that e^5?

2. anonymous

maybe $e^{5x}$?

3. anonymous

because $e^5$ is a number

4. anonymous

Yeah, that's what I was starting to wonder :)

5. anonymous

number has an additive inverse and a multiplicative inverse but a constant function has no inverse

6. anonymous

yeah it does. Two has an inverse of 1/2, right?

7. anonymous

multiplicative on. additive one too: -2

8. anonymous

But isn't a constant function a constant number, too?

9. anonymous

Like, the derivative of 2x. Isn't that a constant function?

10. anonymous

but as a function $f(x)=2$ is about as not one to one as you can get!

11. anonymous

But, wouldn't it be so? Since f(x)=y, then y is constant, so f(x) is constant, also, by the equality property.

12. anonymous

??

13. anonymous

we are talking about inverse function. its inverse in g(x)=(lnx)/5

14. anonymous

$f(x)=2$ so $f(1)=2,f(2)=2, f(3)=2,f(4)=2$

15. anonymous

e^x^5

16. anonymous

what the heck would the inverse be?

17. anonymous

sorry for that

18. anonymous

...... OH! Wow, I'm really sorry about that :3 I'm sorry, just tryin to figure everything out.

19. anonymous

ahh $e^{x^5}$

20. anonymous

(lnx)^1/5 is what i got

21. anonymous

$x=e^{y^5}$ $ln(x)=y^5$ $y=\sqrt[5]{ln(x)}$

22. anonymous

what you wrote, yes!

23. anonymous

thanks for all the help sorry for causing that long discussion