Find a formula for the inverse of the function.
f(x) = ex5

Question

anonymous · Answer

It that e^5?

anonymous · Answer

maybe $$e^{5x}$$?

anonymous · Answer

because $$e^5$$ is a number

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

multiplicative on. additive one too: -2

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

??

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

e^x^5

anonymous · Answer

what the heck would the inverse be?

anonymous · Answer

sorry for that

anonymous · Answer

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

anonymous · Answer

ahh
$$e^{x^5}$$

anonymous · Answer

(lnx)^1/5 is what i got

anonymous · Answer

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

anonymous · Answer

what you wrote, yes!

anonymous · Answer

thanks for all the help sorry for causing that long discussion